Pith Number

pith:S7XUHPJW

pith:2024:S7XUHPJWIHENRRVWK7VOHLP2AW

not attested not anchored not stored refs pending

Perfect complexes and completion

Beren Sanders, Paul Balmer

arxiv:2411.14761 v1 · 2024-11-22 · math.AC · math.AT · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7XUHPJWIHENRRVWK7VOHLP2AW}

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	2026-07-05T09:39:11.548067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97ef43bd3641c8d8c6b657eae3adfa05822ce5aa9ee20a90bbab07017f4a465b

Aliases

arxiv: 2411.14761 · arxiv_version: 2411.14761v1 · doi: 10.48550/arxiv.2411.14761 · pith_short_12: S7XUHPJWIHEN · pith_short_16: S7XUHPJWIHENRRVW · pith_short_8: S7XUHPJW

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/S7XUHPJWIHENRRVWK7VOHLP2AW \
  | 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: 97ef43bd3641c8d8c6b657eae3adfa05822ce5aa9ee20a90bbab07017f4a465b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f76a2dec92b9246fe3e6103659380b44c1caa0640a255d98128d5a285f979460",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-11-22T06:48:41Z",
    "title_canon_sha256": "c20fe6c78df976aaa9cd2049af2daa865be626f34605396d2d2e0edcb2b8f488"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14761",
    "kind": "arxiv",
    "version": 1
  }
}