Pith Number

pith:HTA5QBHA

pith:2015:HTA5QBHADMT64ANNCIDA765RQA

not attested not anchored not stored refs pending

Homological algebra related to surfaces with boundary

Janko Latschev, Kai Cieliebak, Kenji Fukaya

arxiv:1508.02741 v3 · 2015-08-11 · math.QA · 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{HTA5QBHADMT64ANNCIDA765RQA}

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	2026-07-05T05:22:00.951547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cc1d804e01b27ee01ad12060ffbb18018a4f20c03681814501c040ae2537f5e

Aliases

arxiv: 1508.02741 · arxiv_version: 1508.02741v3 · doi: 10.48550/arxiv.1508.02741 · pith_short_12: HTA5QBHADMT6 · pith_short_16: HTA5QBHADMT64ANN · pith_short_8: HTA5QBHA

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/HTA5QBHADMT64ANNCIDA765RQA \
  | 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: 3cc1d804e01b27ee01ad12060ffbb18018a4f20c03681814501c040ae2537f5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "717e064bbdfea554259ac5cc294c6da65ee99af215007004a2c06ac763f179f0",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-08-11T20:52:27Z",
    "title_canon_sha256": "5269e719ab57350848f5bb428bbe9ef38ac956228c7f9daac2001c92858bed3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02741",
    "kind": "arxiv",
    "version": 3
  }
}