Pith Number

pith:EORBX7I5

pith:2010:EORBX7I53CBN4MERSD2WGZZFXW

not attested not anchored not stored refs pending

Grafting rays fellow travel Teichmuller geodesics

David Dumas, Kasra Rafi, Young-Eun Choi

arxiv:1003.0711 v3 · 2010-03-03 · 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{EORBX7I53CBN4MERSD2WGZZFXW}

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	2026-05-18T04:23:56.928125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23a21bfd1dd882de309190f5636725bd98445d4621b62ee51f5263eea06a559b

Aliases

arxiv: 1003.0711 · arxiv_version: 1003.0711v3 · doi: 10.48550/arxiv.1003.0711 · pith_short_12: EORBX7I53CBN · pith_short_16: EORBX7I53CBN4MER · pith_short_8: EORBX7I5

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/EORBX7I53CBN4MERSD2WGZZFXW \
  | 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: 23a21bfd1dd882de309190f5636725bd98445d4621b62ee51f5263eea06a559b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b3ee247b8318da22a5c8b34d5c79c9e3e93af2589a5b850f47c7d42b6c9fe87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-03-03T00:34:13Z",
    "title_canon_sha256": "dcf540a85a2569c1b9ad2f8c8ba6ad068c08e4ff7aee3cb9aa9ec2501538b58b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0711",
    "kind": "arxiv",
    "version": 3
  }
}