Pith Number

pith:VYGY47BT

pith:2015:VYGY47BTYROOPCJ54PYWR6TKQ2

not attested not anchored not stored refs pending

A note on the substructural hierarchy

Emil Je\v{r}\'abek

arxiv:1507.00700 v3 · 2015-07-02 · cs.LO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYGY47BTYROOPCJ54PYWR6TKQ2}

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	2026-05-18T01:20:19.058536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae0d8e7c33c45ce7893de3f168fa6a86a4824ca98efcc6b1be22206151f26ce5

Aliases

arxiv: 1507.00700 · arxiv_version: 1507.00700v3 · doi: 10.48550/arxiv.1507.00700 · pith_short_12: VYGY47BTYROO · pith_short_16: VYGY47BTYROOPCJ5 · pith_short_8: VYGY47BT

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/VYGY47BTYROOPCJ54PYWR6TKQ2 \
  | 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: ae0d8e7c33c45ce7893de3f168fa6a86a4824ca98efcc6b1be22206151f26ce5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85c18f4bc7fa81a9e527d6bef672236392cae7c4c38b839f44b995f1191fff77",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-07-02T19:03:46Z",
    "title_canon_sha256": "b716d979d9fa1fd151fb68e62d921d6352ac6e6e79ca848ce63b0bffbced19b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00700",
    "kind": "arxiv",
    "version": 3
  }
}