Pith Number

pith:F3EYAPH7

pith:2023:F3EYAPH74EYVVCVKPS54JTA5KB

not attested not anchored not stored refs pending

Triangulation, Persistence, and Fukaya categories

Jun Zhang, Octav Cornea, Paul Biran

arxiv:2304.01785 v2 · 2023-04-04 · math.SG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3EYAPH74EYVVCVKPS54JTA5KB}

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	2026-07-05T08:54:01.712028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ec9803cffe1315a8aaa7cbbc4cc1d505a7586fa69cb00f3e10015b0e646c81c

Aliases

arxiv: 2304.01785 · arxiv_version: 2304.01785v2 · doi: 10.48550/arxiv.2304.01785 · pith_short_12: F3EYAPH74EYV · pith_short_16: F3EYAPH74EYVVCVK · pith_short_8: F3EYAPH7

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/F3EYAPH74EYVVCVKPS54JTA5KB \
  | 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: 2ec9803cffe1315a8aaa7cbbc4cc1d505a7586fa69cb00f3e10015b0e646c81c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3f5ba41d157f280a102dec8f50133b7ab5c852ee76aceacd0f9e02a6d61dab1",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2023-04-04T13:22:26Z",
    "title_canon_sha256": "a3cdda789b5eb6999b88d0c88af472c0692650d1295e6c9029f18e79e8e8c211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.01785",
    "kind": "arxiv",
    "version": 2
  }
}