Pith Number

pith:7KEA7TDC

pith:2014:7KEA7TDCZKEP2A5WHZ7RTFR4NN

not attested not anchored not stored refs pending

Intersection number and the stability of some inscribable graphs

Jinsong Liu, Ze Zhou

arxiv:1412.5670 v2 · 2014-12-15 · math.MG · 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{7KEA7TDCZKEP2A5WHZ7RTFR4NN}

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	2026-05-18T02:30:15.131782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa880fcc62ca88fd03b63e7f19963c6b7cc34db301305baff458a46099de92dc

Aliases

arxiv: 1412.5670 · arxiv_version: 1412.5670v2 · doi: 10.48550/arxiv.1412.5670 · pith_short_12: 7KEA7TDCZKEP · pith_short_16: 7KEA7TDCZKEP2A5W · pith_short_8: 7KEA7TDC

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/7KEA7TDCZKEP2A5WHZ7RTFR4NN \
  | 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: fa880fcc62ca88fd03b63e7f19963c6b7cc34db301305baff458a46099de92dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "175d48a36ce84683dcdf145f52ecceb9cd576bf5342b87f946ec7106006606ca",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-12-15T06:39:46Z",
    "title_canon_sha256": "16baf46372d7465a717298b2061deecc19a00e1995f3df2ca6407b603bbf8268"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5670",
    "kind": "arxiv",
    "version": 2
  }
}