Pith Number

pith:TI5LNYUA

pith:2022:TI5LNYUA5V5ULWM45GJ7J4RTTP

not attested not anchored not stored refs pending

Quantum trace map for 3-manifolds and a 'length conjecture'

Dongmin Gang, Mauricio Romo, Prarit Agarwal, Sangmin Lee

arxiv:2203.15985 v1 · 2022-03-30 · hep-th · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TI5LNYUA5V5ULWM45GJ7J4RTTP}

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

1 paper in Pith

On 3d Quantum Trace Maps

Receipt and verification

First computed	2026-07-05T04:10:05.896772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a3ab6e280ed7b45d99ce993f4f2339bdb9d3d1ad5b7c133b5d5ce264615698b

Aliases

arxiv: 2203.15985 · arxiv_version: 2203.15985v1 · doi: 10.48550/arxiv.2203.15985 · pith_short_12: TI5LNYUA5V5U · pith_short_16: TI5LNYUA5V5ULWM4 · pith_short_8: TI5LNYUA

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/TI5LNYUA5V5ULWM45GJ7J4RTTP \
  | 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: 9a3ab6e280ed7b45d99ce993f4f2339bdb9d3d1ad5b7c133b5d5ce264615698b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3096d7a1e698819e6ec6a62f1b7433634ab3f0a76c4bd7ba7a0bebeea74b45b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-03-30T01:44:22Z",
    "title_canon_sha256": "233bcfbbee5fb42a0f7d833d8294120faa37bd6e63881df0b4d35d387eb0b27b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.15985",
    "kind": "arxiv",
    "version": 1
  }
}