Pith Number

pith:NAOXIF3W

pith:2021:NAOXIF3WSOMGT53MHIGTQTYKOZ

not attested not anchored not stored refs pending

K-flat complexes and derived categories

James Gillespie

arxiv:2107.13042 v2 · 2021-07-27 · math.AT · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NAOXIF3WSOMGT53MHIGTQTYKOZ}

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	2026-07-05T03:27:34.543136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

681d741776939869f76c3a0d384f0a76586dc3be416b880b7a907024b9bfaf35

Aliases

arxiv: 2107.13042 · arxiv_version: 2107.13042v2 · doi: 10.48550/arxiv.2107.13042 · pith_short_12: NAOXIF3WSOMG · pith_short_16: NAOXIF3WSOMGT53M · pith_short_8: NAOXIF3W

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/NAOXIF3WSOMGT53MHIGTQTYKOZ \
  | 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: 681d741776939869f76c3a0d384f0a76586dc3be416b880b7a907024b9bfaf35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b79eeb5d33ef821f12de639902e9709ffd88a47644118f7660321352544cb93",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2021-07-27T18:59:04Z",
    "title_canon_sha256": "648f1d73275434b814929dd1a6a9b245e796d437589aef13c5ce3f6d81e6c0f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.13042",
    "kind": "arxiv",
    "version": 2
  }
}