Pith Number

pith:B3GKAM7E

pith:2010:B3GKAM7EUPTVEAJIHRHC34PATF

not attested not anchored not stored refs pending

Bounds from a Card Trick

Travis Gagie

arxiv:1011.4609 v1 · 2010-11-20 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3GKAM7EUPTVEAJIHRHC34PATF}

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	2026-05-18T04:35:04.308656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ecca033e4a3e75201283c4e2df1e0994c26e081a7ef44a014a3e6bb9ee6b401

Aliases

arxiv: 1011.4609 · arxiv_version: 1011.4609v1 · doi: 10.48550/arxiv.1011.4609 · pith_short_12: B3GKAM7EUPTV · pith_short_16: B3GKAM7EUPTVEAJI · pith_short_8: B3GKAM7E

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/B3GKAM7EUPTVEAJIHRHC34PATF \
  | 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: 0ecca033e4a3e75201283c4e2df1e0994c26e081a7ef44a014a3e6bb9ee6b401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "780062a5e294f048ac30538ef1f39417f1cb46b26f9363814f9316e040fab56a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-11-20T20:11:13Z",
    "title_canon_sha256": "40b42a3588a38e24151f8eeb60468e5135485b233dcfbf1b62a45e7787e12e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4609",
    "kind": "arxiv",
    "version": 1
  }
}