Pith Number

pith:VFDHU7MA

pith:2013:VFDHU7MARSCCO6IEHUJICERQFX

not attested not anchored not stored refs pending

Binomial regular sequences and free sums

Winfried Bruns

arxiv:1302.0769 v1 · 2013-02-04 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFDHU7MARSCCO6IEHUJICERQFX}

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	2026-05-18T03:34:36.365829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9467a7d808c842779043d128112302dc6173133207c6c395eee248e24a42c0f

Aliases

arxiv: 1302.0769 · arxiv_version: 1302.0769v1 · doi: 10.48550/arxiv.1302.0769 · pith_short_12: VFDHU7MARSCC · pith_short_16: VFDHU7MARSCCO6IE · pith_short_8: VFDHU7MA

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/VFDHU7MARSCCO6IEHUJICERQFX \
  | 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: a9467a7d808c842779043d128112302dc6173133207c6c395eee248e24a42c0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb720f5a38fe9763347933019bb6b3e568450dd2931f707b6f3108520b3c0c89",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-04T17:46:24Z",
    "title_canon_sha256": "bdd83e7dbe714b31cb647eb8894f9eb4698f983d7b9c0d3d9852bdd4c6693424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0769",
    "kind": "arxiv",
    "version": 1
  }
}