Pith Number

pith:W2WXMHYN

pith:2012:W2WXMHYNEAFVP2MQ244TLQG7VN

not attested not anchored not stored refs pending

Computing the Gromov hyperbolicity of a discrete metric space

Anas Ismail, Antoine Vigneron, Herv\'e Fournier

arxiv:1210.3323 v4 · 2012-10-11 · cs.CG · 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{W2WXMHYNEAFVP2MQ244TLQG7VN}

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	2026-05-18T02:27:32.977844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6ad761f0d200b57e990d73935c0dfab703f81a8130303cb2275a0fbde63f0d7

Aliases

arxiv: 1210.3323 · arxiv_version: 1210.3323v4 · doi: 10.48550/arxiv.1210.3323 · pith_short_12: W2WXMHYNEAFV · pith_short_16: W2WXMHYNEAFVP2MQ · pith_short_8: W2WXMHYN

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/W2WXMHYNEAFVP2MQ244TLQG7VN \
  | 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: b6ad761f0d200b57e990d73935c0dfab703f81a8130303cb2275a0fbde63f0d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0c954e7313f6be27fa61a1e98c5f1195755df55b65a4f019d638dd89d8edd53",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2012-10-11T19:14:02Z",
    "title_canon_sha256": "6798feeb54dbbe71965f0c4a405b1ad5c1545d24c41aa99d81f135c00f54136d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3323",
    "kind": "arxiv",
    "version": 4
  }
}