Pith Number

pith:75RNWCN7

pith:2020:75RNWCN7ZEO3DHZVG7IDEN3BXW

not attested not anchored not stored refs pending

Typical structure of hereditary graph families. I. Apex-free families

Sergey Norin, Yelena Yuditsky

arxiv:2007.00686 v1 · 2020-07-01 · 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{75RNWCN7ZEO3DHZVG7IDEN3BXW}

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	2026-07-05T01:15:40.348060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff62db09bfc91db19f3537d0323761bd924b8fcd40a4992f73f7a02f7f12b65d

Aliases

arxiv: 2007.00686 · arxiv_version: 2007.00686v1 · doi: 10.48550/arxiv.2007.00686 · pith_short_12: 75RNWCN7ZEO3 · pith_short_16: 75RNWCN7ZEO3DHZV · pith_short_8: 75RNWCN7

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/75RNWCN7ZEO3DHZVG7IDEN3BXW \
  | 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: ff62db09bfc91db19f3537d0323761bd924b8fcd40a4992f73f7a02f7f12b65d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f3112d47c64f87fa49c1b279c6bc65e1eacecf972951598592e84430a4c20be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-07-01T18:10:11Z",
    "title_canon_sha256": "50f66a8ab7586d206edd79135b7995d6f15414024009f372609ea2f5244608e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.00686",
    "kind": "arxiv",
    "version": 1
  }
}