Pith Number

pith:5G5ZCZ6J

pith:2019:5G5ZCZ6JVGAOYUQN2HNUZLQMHF

not attested not anchored not stored refs pending

Combinatorial inequalities

Igor Pak

arxiv:1904.01656 v1 · 2019-04-02 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5G5ZCZ6JVGAOYUQN2HNUZLQMHF}

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	2026-05-17T23:49:30.343376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9bb9167c9a980ec520dd1db4cae0c3958ce76ed1f74914ce090ac218935928c

Aliases

arxiv: 1904.01656 · arxiv_version: 1904.01656v1 · doi: 10.48550/arxiv.1904.01656 · pith_short_12: 5G5ZCZ6JVGAO · pith_short_16: 5G5ZCZ6JVGAOYUQN · pith_short_8: 5G5ZCZ6J

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/5G5ZCZ6JVGAOYUQN2HNUZLQMHF \
  | 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: e9bb9167c9a980ec520dd1db4cae0c3958ce76ed1f74914ce090ac218935928c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31a428d953eeb39a89063da5dda53fc92aa4489d23dc8d6c281cfe175e8dfe95",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-02T20:30:22Z",
    "title_canon_sha256": "03d6335736aa84e508736fa6ddd895a623e2646671e959686de374191f3c664d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01656",
    "kind": "arxiv",
    "version": 1
  }
}