Pith Number

pith:Q5LICZXU

pith:2013:Q5LICZXULGNMEHZT7QQ7BJ7DVY

not attested not anchored not stored refs pending

Mathematics discovered, invented, and inherited

Alexandre Borovik

arxiv:1309.3073 v2 · 2013-09-12 · math.HO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5LICZXULGNMEHZT7QQ7BJ7DVY}

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	2026-05-18T03:12:45.995215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87568166f4599ac21f33fc21f0a7e3ae19b3a2eab64f185f9d81af9fe55533ea

Aliases

arxiv: 1309.3073 · arxiv_version: 1309.3073v2 · doi: 10.48550/arxiv.1309.3073 · pith_short_12: Q5LICZXULGNM · pith_short_16: Q5LICZXULGNMEHZT · pith_short_8: Q5LICZXU

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/Q5LICZXULGNMEHZT7QQ7BJ7DVY \
  | 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: 87568166f4599ac21f33fc21f0a7e3ae19b3a2eab64f185f9d81af9fe55533ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c56182350c5fe2df41ff0753dca9c89072892e47f334494298ed7a1220fbe271",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2013-09-12T09:36:25Z",
    "title_canon_sha256": "83007f8dbd1b018358769132fa72b8f656aaf7f674bca7a90e3817711b76e49b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3073",
    "kind": "arxiv",
    "version": 2
  }
}