Pith Number

pith:ABT2D434

pith:2016:ABT2D4343OFEPTWYZOY6UDHGCD

not attested not anchored not stored refs pending

Morse Cells

Henry C. King

arxiv:1610.07509 v2 · 2016-10-24 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABT2D4343OFEPTWYZOY6UDHGCD}

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	2026-05-18T01:01:08.048987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0067a1f37cdb8a47ced8cbb1ea0ce610df899ff7961c341eb4986e09ef51af74

Aliases

arxiv: 1610.07509 · arxiv_version: 1610.07509v2 · doi: 10.48550/arxiv.1610.07509 · pith_short_12: ABT2D4343OFE · pith_short_16: ABT2D4343OFEPTWY · pith_short_8: ABT2D434

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/ABT2D4343OFEPTWYZOY6UDHGCD \
  | 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: 0067a1f37cdb8a47ced8cbb1ea0ce610df899ff7961c341eb4986e09ef51af74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faaa0af8b659d6b808afa6f355dd15ab940791c93d6392691e089686e0a64433",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-24T17:51:39Z",
    "title_canon_sha256": "88bcdd623fc6fc9a4bb0049a2834330663585f0ab452f4830f901977af3806d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07509",
    "kind": "arxiv",
    "version": 2
  }
}