Pith Number

pith:GYJ5BOLL

pith:2008:GYJ5BOLLNQJFMXCDVSNGA5MFKT

not attested not anchored not stored refs pending

Universal convex coverings

Roland Bacher (IF)

arxiv:0812.3525 v3 · 2008-12-18 · math.NT · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYJ5BOLLNQJFMXCDVSNGA5MFKT}

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	2026-05-18T02:58:10.875496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3613d0b96b6c12565c43ac9a60758554c1b9265453568d07f09f0a71a4da623c

Aliases

arxiv: 0812.3525 · arxiv_version: 0812.3525v3 · doi: 10.48550/arxiv.0812.3525 · pith_short_12: GYJ5BOLLNQJF · pith_short_16: GYJ5BOLLNQJFMXCD · pith_short_8: GYJ5BOLL

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/GYJ5BOLLNQJFMXCDVSNGA5MFKT \
  | 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: 3613d0b96b6c12565c43ac9a60758554c1b9265453568d07f09f0a71a4da623c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47f5de104b740a1f18baa31dfb49b755ac46b047255347487d99fa55321d0641",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-12-18T13:09:56Z",
    "title_canon_sha256": "231bdb4b01ee0ec93a75d66342083cdff9266bd0e58462f234e30dead42a7878"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3525",
    "kind": "arxiv",
    "version": 3
  }
}