Pith Number

pith:B5QIJRFM

pith:2008:B5QIJRFM5N6TDA42BIVRI2BHHH

not attested not anchored not stored refs pending

Canonical models of filtered $A_\infty$-algebras and Morse complexes

H. Ohta, K. Fukaya, K. Ono, Y.-G. OH

arxiv:0812.1963 v1 · 2008-12-10 · math.SG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5QIJRFM5N6TDA42BIVRI2BHHH}

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	2026-07-04T15:33:37.611602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f6084c4aceb7d31839a0a2b14682739f36bea5101f952b1e7e76af8117c4b36

Aliases

arxiv: 0812.1963 · arxiv_version: 0812.1963v1 · doi: 10.48550/arxiv.0812.1963 · pith_short_12: B5QIJRFM5N6T · pith_short_16: B5QIJRFM5N6TDA42 · pith_short_8: B5QIJRFM

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/B5QIJRFM5N6TDA42BIVRI2BHHH \
  | 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: 0f6084c4aceb7d31839a0a2b14682739f36bea5101f952b1e7e76af8117c4b36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "956450c525dcbf2201e0110bfd86b96c6bdd62511c5b20f56c52d62657231d97",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-12-10T19:59:10Z",
    "title_canon_sha256": "e14e591f752ea18f1dac681c90d5518944bd75ba05c11c16c48edbc681af008d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1963",
    "kind": "arxiv",
    "version": 1
  }
}