Pith Number

pith:YGWUIKS5

pith:2015:YGWUIKS5OIQZOS2WXZNLAG2QAH

not attested not anchored not stored refs pending

Renormalized volume and the volume of the convex core

Martin Bridgeman, Richard Canary

arxiv:1502.05018 v3 · 2015-02-17 · math.DG · 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{YGWUIKS5OIQZOS2WXZNLAG2QAH}

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	2026-05-18T00:40:46.965567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1ad442a5d7221974b56be5ab01b5001dc67988d72566b06eb207d913c65462c

Aliases

arxiv: 1502.05018 · arxiv_version: 1502.05018v3 · doi: 10.48550/arxiv.1502.05018 · pith_short_12: YGWUIKS5OIQZ · pith_short_16: YGWUIKS5OIQZOS2W · pith_short_8: YGWUIKS5

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/YGWUIKS5OIQZOS2WXZNLAG2QAH \
  | 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: c1ad442a5d7221974b56be5ab01b5001dc67988d72566b06eb207d913c65462c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "260bed40b6345b77670d825ae78607b3525d6bf10f30bfebd0add26807caf60c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-17T20:11:40Z",
    "title_canon_sha256": "23a86fa1b43906a1249ea7241d2de672bea5f98c4f6ee9f8b895b1c2aacb6578"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05018",
    "kind": "arxiv",
    "version": 3
  }
}