Pith Number

pith:MJUVBG7R

pith:2011:MJUVBG7RVTA5DIITKVLMGWSLTD

not attested not anchored not stored refs pending

Dubois' Torsion, A-polynomial and Quantum Invariants

Charles Frohman, Joanna Kania-Bartoszynska

arxiv:1101.2695 v1 · 2011-01-13 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJUVBG7RVTA5DIITKVLMGWSLTD}

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	2026-05-18T04:31:31.893862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6269509bf1acc1d1a1135556c35a4b98d6ea4aef62285f4a5e11e86859b038ad

Aliases

arxiv: 1101.2695 · arxiv_version: 1101.2695v1 · doi: 10.48550/arxiv.1101.2695 · pith_short_12: MJUVBG7RVTA5 · pith_short_16: MJUVBG7RVTA5DIIT · pith_short_8: MJUVBG7R

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/MJUVBG7RVTA5DIITKVLMGWSLTD \
  | 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: 6269509bf1acc1d1a1135556c35a4b98d6ea4aef62285f4a5e11e86859b038ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fe6d2a76f48a834dadaccb958ca24f9f031c75e329658b56798beb6b971b68e",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-01-13T23:51:46Z",
    "title_canon_sha256": "afd452c5ff2c82c20eab41e64bc4feed1255c1da97d85be8ae7fc46bdbadb15d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2695",
    "kind": "arxiv",
    "version": 1
  }
}