Pith Number

pith:77RJW64U

pith:2017:77RJW64URTUYKQ2RG4OZK67N6B

not attested not anchored not stored refs pending

Yoshikawa moves on marked graphs via Roseman's theorem

Oleg Chterental

arxiv:1701.07170 v3 · 2017-01-25 · 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{77RJW64URTUYKQ2RG4OZK67N6B}

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	2026-05-18T00:45:30.086739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffe29b7b948ce9854351371d957bedf04f9455c2171faeffa180f10e814b85ee

Aliases

arxiv: 1701.07170 · arxiv_version: 1701.07170v3 · doi: 10.48550/arxiv.1701.07170 · pith_short_12: 77RJW64URTUY · pith_short_16: 77RJW64URTUYKQ2R · pith_short_8: 77RJW64U

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/77RJW64URTUYKQ2RG4OZK67N6B \
  | 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: ffe29b7b948ce9854351371d957bedf04f9455c2171faeffa180f10e814b85ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "621d928caf1a2a5c0b993ba02f9eacc15a9402bb8bca65e333b9a16f1a51fcc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-01-25T05:46:11Z",
    "title_canon_sha256": "93115cc5c27e005f84f7dd8dac934b94467c0227fb6fd70d7992044b9832110f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07170",
    "kind": "arxiv",
    "version": 3
  }
}