Pith Number

pith:ST5CFEOE

pith:2017:ST5CFEOEWVFBHNYH2JFPNVKG6L

not attested not anchored not stored refs pending

An Erd\H{o}s-Gallai type theorem for vertex colored graphs

Casey Tompkins, Nika Salia, Oscar Zamora

arxiv:1712.04388 v1 · 2017-12-12 · 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{ST5CFEOEWVFBHNYH2JFPNVKG6L}

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	2026-05-17T23:40:56.192750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94fa2291c4b54a13b707d24af6d546f2d58b83403f20be3986cab2d8e0389aee

Aliases

arxiv: 1712.04388 · arxiv_version: 1712.04388v1 · doi: 10.48550/arxiv.1712.04388 · pith_short_12: ST5CFEOEWVFB · pith_short_16: ST5CFEOEWVFBHNYH · pith_short_8: ST5CFEOE

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/ST5CFEOEWVFBHNYH2JFPNVKG6L \
  | 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: 94fa2291c4b54a13b707d24af6d546f2d58b83403f20be3986cab2d8e0389aee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "026699e77908e20d05268d7764628ec33578cbbee87b585b515c66edb97ec6ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-12T16:54:44Z",
    "title_canon_sha256": "277b6ccc31371996271a9a5d0861c812614817435115be99752174c79bb16495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04388",
    "kind": "arxiv",
    "version": 1
  }
}