Pith Number

pith:XRMQGJ2A

pith:2023:XRMQGJ2AJWTY2L3F5TKA5726RM

not attested not anchored not stored refs pending

Universal support for triangulated categories

Pablo S. Ocal, Paul Balmer

arxiv:2308.10815 v2 · 2023-08-21 · math.CT · math.AG · math.AT · 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{XRMQGJ2AJWTY2L3F5TKA5726RM}

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	2026-07-05T09:04:28.974349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc590327404da78d2f65ecd40eff5e8b1a40209854d2aefc2404d33b0dc3d78f

Aliases

arxiv: 2308.10815 · arxiv_version: 2308.10815v2 · doi: 10.48550/arxiv.2308.10815 · pith_short_12: XRMQGJ2AJWTY · pith_short_16: XRMQGJ2AJWTY2L3F · pith_short_8: XRMQGJ2A

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/XRMQGJ2AJWTY2L3F5TKA5726RM \
  | 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: bc590327404da78d2f65ecd40eff5e8b1a40209854d2aefc2404d33b0dc3d78f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7e359a467e9e7934752927f19361228a52b639996412ce410fdf06d9ea075e3",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2023-08-21T16:09:28Z",
    "title_canon_sha256": "d85d037178d96d46f643288d619c0c1bede2cc4b981a684e5fcc63d0647d487b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.10815",
    "kind": "arxiv",
    "version": 2
  }
}