Pith Number

pith:4I62WBIC

pith:2015:4I62WBICRSIQRIOROTN3GS7UJH

not attested not anchored not stored refs pending

On unavoidable induced subgraphs in large prime graphs

C. Terry, M. Malliaris

arxiv:1511.02544 v1 · 2015-11-09 · math.LO · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4I62WBICRSIQRIOROTN3GS7UJH}

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	2026-05-18T01:27:29.986162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e23dab05028c9108a1d174dbb34bf449ce862d94a732b0b8c2f5425d7e6823b0

Aliases

arxiv: 1511.02544 · arxiv_version: 1511.02544v1 · doi: 10.48550/arxiv.1511.02544 · pith_short_12: 4I62WBICRSIQ · pith_short_16: 4I62WBICRSIQRIOR · pith_short_8: 4I62WBIC

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/4I62WBICRSIQRIOROTN3GS7UJH \
  | 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: e23dab05028c9108a1d174dbb34bf449ce862d94a732b0b8c2f5425d7e6823b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5709a6767daacbc626797f5ca490cc0ef4fb8a3175d52ad14ed82edbf064c95d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-11-09T00:23:02Z",
    "title_canon_sha256": "f08dc8beca11bd8b0487aca55468fdb48a10b40575cdbb21ee5e86bec4a95c35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02544",
    "kind": "arxiv",
    "version": 1
  }
}