Pith Number

pith:6RMNO4ZV

pith:2011:6RMNO4ZVY2TDQXPVZJL34FU2LF

not attested not anchored not stored refs pending

Higher dimensional Reidemeister torsion invariants for cusped hyperbolic 3-manifolds

Joan Porti, Pere Menal-Ferrer

arxiv:1110.3718 v2 · 2011-10-17 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6RMNO4ZVY2TDQXPVZJL34FU2LF}

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	2026-05-18T02:58:00.337473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f458d77335c6a6385df5ca57be169a594cfd816aa588677014960159cc15c462

Aliases

arxiv: 1110.3718 · arxiv_version: 1110.3718v2 · doi: 10.48550/arxiv.1110.3718 · pith_short_12: 6RMNO4ZVY2TD · pith_short_16: 6RMNO4ZVY2TDQXPV · pith_short_8: 6RMNO4ZV

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/6RMNO4ZVY2TDQXPVZJL34FU2LF \
  | 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: f458d77335c6a6385df5ca57be169a594cfd816aa588677014960159cc15c462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5fd615930810716e6da5b8ef06c42869426a5674d5f537fb7e6c31a9f411ee9",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-17T16:15:24Z",
    "title_canon_sha256": "085c19d0d0b9a77f4c62696280e66f4ed2fa5ba783c44adad3049b0124411997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3718",
    "kind": "arxiv",
    "version": 2
  }
}