Pith Number

pith:4SC46VAT

pith:2015:4SC46VATD57FFLAN5HVGFCLEOV

not attested not anchored not stored refs pending

Morse structures on open books

David T. Gay, Joan E. Licata

arxiv:1508.05307 v1 · 2015-08-21 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SC46VATD57FFLAN5HVGFCLEOV}

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	2026-05-18T01:34:56.164435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e485cf54131f7e52ac0de9ea6289647549e84a7b6eeae941e296efb03fc3d97e

Aliases

arxiv: 1508.05307 · arxiv_version: 1508.05307v1 · doi: 10.48550/arxiv.1508.05307 · pith_short_12: 4SC46VATD57F · pith_short_16: 4SC46VATD57FFLAN · pith_short_8: 4SC46VAT

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/4SC46VATD57FFLAN5HVGFCLEOV \
  | 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: e485cf54131f7e52ac0de9ea6289647549e84a7b6eeae941e296efb03fc3d97e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b172aa17f4d8816cd98e9770ee538af36f2c55bb45372eb9873709957ea136e",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-21T15:17:46Z",
    "title_canon_sha256": "24db2a3d6e95fcc8ade7cbadffd2661bfb7982f296ed8a916f4aa5603f0eca2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05307",
    "kind": "arxiv",
    "version": 1
  }
}