Pith Number

pith:3O7UQIC4

pith:2019:3O7UQIC47USYP6GHE7NT6B2DGU

not attested not anchored not stored refs pending

Intersecting families, signed sets, and injection

Carl Feghali

arxiv:1912.10324 v1 · 2019-12-21 · 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{3O7UQIC47USYP6GHE7NT6B2DGU}

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	2026-07-05T00:27:48.876219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbbf48205cfd2587f8c727db3f074335331c8342829b9002fc6380a9369dfa2e

Aliases

arxiv: 1912.10324 · arxiv_version: 1912.10324v1 · doi: 10.48550/arxiv.1912.10324 · pith_short_12: 3O7UQIC47USY · pith_short_16: 3O7UQIC47USYP6GH · pith_short_8: 3O7UQIC4

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/3O7UQIC47USYP6GHE7NT6B2DGU \
  | 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: dbbf48205cfd2587f8c727db3f074335331c8342829b9002fc6380a9369dfa2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "148b83e262200803a052958287d190a3b8bc3638b1600deb6b876b697f8fdfff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-12-21T19:32:33Z",
    "title_canon_sha256": "89d5ff0414815d8eb22d06876c8ac5a38fbe31ca72a21979864f3775696b5669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.10324",
    "kind": "arxiv",
    "version": 1
  }
}