Pith Number

pith:BNDXAHE7

pith:2013:BNDXAHE7H7MRERT37DKLYRTVEV

not attested not anchored not stored refs pending

Formal Mathematics on Display: A Wiki for Flyspeck

Carst Tankink, Cezary Kaliszyk, Herman Geuvers, Josef Urban

arxiv:1305.5710 v1 · 2013-05-24 · cs.MS · cs.DL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNDXAHE7H7MRERT37DKLYRTVEV}

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	2026-05-18T03:25:03.441802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b47701c9f3fd912467bf8d4bc46752573084b51ab72b1f199ea8c218bd4d0c8

Aliases

arxiv: 1305.5710 · arxiv_version: 1305.5710v1 · doi: 10.48550/arxiv.1305.5710 · pith_short_12: BNDXAHE7H7MR · pith_short_16: BNDXAHE7H7MRERT3 · pith_short_8: BNDXAHE7

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/BNDXAHE7H7MRERT37DKLYRTVEV \
  | 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: 0b47701c9f3fd912467bf8d4bc46752573084b51ab72b1f199ea8c218bd4d0c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c925c79382cbc8d146f8ec0dcd5524be27b53a6798b54e15fd595a681105e26d",
    "cross_cats_sorted": [
      "cs.DL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2013-05-24T12:26:45Z",
    "title_canon_sha256": "14adff5e59bbe551e397cb67fbf79caeba41cd063c368df608489258782c5c3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5710",
    "kind": "arxiv",
    "version": 1
  }
}