Pith Number

pith:TDIJG2ZD

pith:2023:TDIJG2ZDCIF3HZHIPICLJ7CQAV

not attested not anchored not stored refs pending

Spectral Bounds on Hyperbolic 3-Manifolds: Associativity and the Trace Formula

Dalimil Mazac, James Bonifacio, Sridip Pal

arxiv:2308.11174 v1 · 2023-08-22 · math.SP · hep-th · math-ph · math.GT · math.MP · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDIJG2ZDCIF3HZHIPICLJ7CQAV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

De Sitter Representations

Alice in Warpland: KK modes, Warped Compactifications and the Swampland

Receipt and verification

First computed	2026-07-05T06:43:30.699126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98d0936b23120bb3e4e87a04b4fc50057a4cb31ed3301fe2624be8f187762c7e

Aliases

arxiv: 2308.11174 · arxiv_version: 2308.11174v1 · doi: 10.48550/arxiv.2308.11174 · pith_short_12: TDIJG2ZDCIF3 · pith_short_16: TDIJG2ZDCIF3HZHI · pith_short_8: TDIJG2ZD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TDIJG2ZDCIF3HZHIPICLJ7CQAV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 98d0936b23120bb3e4e87a04b4fc50057a4cb31ed3301fe2624be8f187762c7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeddd5b07ab379fa49644e972ed43582c38763d42db1b9fdee6eecde1bdcd10d",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.GT",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2023-08-22T04:02:32Z",
    "title_canon_sha256": "af2c5b40a4cddbd433d2bebda7d9c98a3a204ea05a9bbe870279f03b43f899fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.11174",
    "kind": "arxiv",
    "version": 1
  }
}