Pith Number

pith:AXKVXSVP

pith:2013:AXKVXSVPVRDNCON2DKQNT5ULJG

not attested not anchored not stored refs pending

Hyperbolic four-manifolds with one cusp

Alexander Kolpakov, Bruno Martelli

arxiv:1303.6122 v7 · 2013-03-25 · math.GT · math.AG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXKVXSVPVRDNCON2DKQNT5ULJG}

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	2026-05-18T03:09:22.327545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05d55bcaafac46d139ba1aa0d9f68b49a6772de153d30bb50ce99230a64cd4fd

Aliases

arxiv: 1303.6122 · arxiv_version: 1303.6122v7 · doi: 10.48550/arxiv.1303.6122 · pith_short_12: AXKVXSVPVRDN · pith_short_16: AXKVXSVPVRDNCON2 · pith_short_8: AXKVXSVP

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/AXKVXSVPVRDNCON2DKQNT5ULJG \
  | 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: 05d55bcaafac46d139ba1aa0d9f68b49a6772de153d30bb50ce99230a64cd4fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd0c562ba8910dbfd1674d27d01d8272134d29f1f0afcbd4c2ef9f9859c96790",
    "cross_cats_sorted": [
      "math.AG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-25T13:23:04Z",
    "title_canon_sha256": "481e0e010a568f3c4fca7191330ff458d0b7f902e9188d69db229f3278d025aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6122",
    "kind": "arxiv",
    "version": 7
  }
}