Pith Number

pith:JWXCM4Y2

pith:2015:JWXCM4Y2PM5GCAG7FM5P3OP7X2

not attested not anchored not stored refs pending

Fundamental classes of 3-manifold group representations in SL(4,R)

Thilo Kuessner

arxiv:1503.07821 v5 · 2015-03-26 · 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{JWXCM4Y2PM5GCAG7FM5P3OP7X2}

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.

Receipt and verification

First computed	2026-05-18T00:51:03.447632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dae26731a7b3a6100df2b3afdb9ffbe8c5ac72634a501b3557856ecbaf2e603

Aliases

arxiv: 1503.07821 · arxiv_version: 1503.07821v5 · doi: 10.48550/arxiv.1503.07821 · pith_short_12: JWXCM4Y2PM5G · pith_short_16: JWXCM4Y2PM5GCAG7 · pith_short_8: JWXCM4Y2

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/JWXCM4Y2PM5GCAG7FM5P3OP7X2 \
  | 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: 4dae26731a7b3a6100df2b3afdb9ffbe8c5ac72634a501b3557856ecbaf2e603

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64d680b105d4800f500015185b4844a7d9d9cc11286acdbb7d79b52bd8858c7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-03-26T18:50:39Z",
    "title_canon_sha256": "ab671c9efc5829ac6f9882aa012a81e1bcd1359773248d2ba6d102307c7045f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07821",
    "kind": "arxiv",
    "version": 5
  }
}