Pith Number

pith:CYX5JD6M

pith:2013:CYX5JD6MXNIRPGGHWTMH5RKUT7

not attested not anchored not stored refs pending

Bialgebra structure on Bridgeland's Hall algebra of two-periodic complexes

Shintarou Yanagida

arxiv:1304.6970 v1 · 2013-04-25 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYX5JD6MXNIRPGGHWTMH5RKUT7}

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	2026-05-18T03:27:10.686268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

162fd48fccbb511798c7b4d87ec5549fe80b6466b070ea0ed0e1fe70cd3291a2

Aliases

arxiv: 1304.6970 · arxiv_version: 1304.6970v1 · doi: 10.48550/arxiv.1304.6970 · pith_short_12: CYX5JD6MXNIR · pith_short_16: CYX5JD6MXNIRPGGH · pith_short_8: CYX5JD6M

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/CYX5JD6MXNIRPGGHWTMH5RKUT7 \
  | 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: 162fd48fccbb511798c7b4d87ec5549fe80b6466b070ea0ed0e1fe70cd3291a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b4f2f11f1e82cd7248480c5ea33ecbffb464105f8d34b22996f860695087ffc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-04-25T17:48:35Z",
    "title_canon_sha256": "55c523c2f0527e94db49f7e8bb66ad24a01ab2f7711dfd03423eb0b40f58ba7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6970",
    "kind": "arxiv",
    "version": 1
  }
}