Pith Number

pith:2PWWNXH7

pith:2012:2PWWNXH7CZW6I7SSUCVCMT6CWG

not attested not anchored not stored refs pending

A note on Bridgeland's Hall algebra of two-periodic complexes

Shintarou Yanagida

arxiv:1207.0905 v1 · 2012-07-04 · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PWWNXH7CZW6I7SSUCVCMT6CWG}

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	2026-05-18T03:51:46.859925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3ed66dcff166de47e52a0aa264fc2b1ac171039f97832a4c7c7d5236802d29c

Aliases

arxiv: 1207.0905 · arxiv_version: 1207.0905v1 · doi: 10.48550/arxiv.1207.0905 · pith_short_12: 2PWWNXH7CZW6 · pith_short_16: 2PWWNXH7CZW6I7SS · pith_short_8: 2PWWNXH7

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/2PWWNXH7CZW6I7SSUCVCMT6CWG \
  | 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: d3ed66dcff166de47e52a0aa264fc2b1ac171039f97832a4c7c7d5236802d29c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa2b1eeef34c5709f78351fc0e87d7f3514a67bc1f31fe76c0a790ceac6deac1",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-07-04T06:02:59Z",
    "title_canon_sha256": "6b56bc82105db0e50003c82be585e490a5680edb61464814dd5739ef54df8264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0905",
    "kind": "arxiv",
    "version": 1
  }
}