Pith Number

pith:C5GOUAPG

pith:2022:C5GOUAPG4KC6OMA32I3OBUXXJG

not attested not anchored not stored refs pending

On the triple point number of surface-links in Yoshikawa's table

Nicholas Cazet

arxiv:2205.11120 v1 · 2022-05-23 · 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{C5GOUAPG4KC6OMA32I3OBUXXJG}

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	2026-07-05T04:25:27.423498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

174cea01e6e285e7301bd236e0d2f749921901c3c975fae0c221cbe9379d51ec

Aliases

arxiv: 2205.11120 · arxiv_version: 2205.11120v1 · doi: 10.48550/arxiv.2205.11120 · pith_short_12: C5GOUAPG4KC6 · pith_short_16: C5GOUAPG4KC6OMA3 · pith_short_8: C5GOUAPG

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/C5GOUAPG4KC6OMA32I3OBUXXJG \
  | 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: 174cea01e6e285e7301bd236e0d2f749921901c3c975fae0c221cbe9379d51ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9137e126ae35217127bf9789c500982c1059970cf0e418da7ba7ac4f2db5d19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-05-23T08:29:22Z",
    "title_canon_sha256": "b92acb9400a457499429e6fa8d6d3acd7116a1fb166334a36fa611a997ec2d20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.11120",
    "kind": "arxiv",
    "version": 1
  }
}