Pith Number

pith:BLYI4WAC

pith:2008:BLYI4WACISR62I4VMVP3WJEWJG

not attested not anchored not stored refs pending

(Co)Simplicial Descent Categories

Beatriz Rodriguez Gonzalez

arxiv:0808.3684 v4 · 2008-08-27 · math.AG · 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{BLYI4WACISR62I4VMVP3WJEWJG}

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	2026-05-18T04:11:18.145070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0af08e580244a3ed2395655fbb249649b02a68df4520edf0847323c822dd6648

Aliases

arxiv: 0808.3684 · arxiv_version: 0808.3684v4 · doi: 10.48550/arxiv.0808.3684 · pith_short_12: BLYI4WACISR6 · pith_short_16: BLYI4WACISR62I4V · pith_short_8: BLYI4WAC

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/BLYI4WACISR62I4VMVP3WJEWJG \
  | 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: 0af08e580244a3ed2395655fbb249649b02a68df4520edf0847323c822dd6648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "575d2481d6c8254e81f46c0e9da215cccb203fd12f74612190a9a05608fac5de",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-08-27T12:14:05Z",
    "title_canon_sha256": "10c73a691ffecfce30a5f9299460c8a56d8bd96dde525fe3f4a8cdaa023334da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.3684",
    "kind": "arxiv",
    "version": 4
  }
}