Pith Number

pith:XXKZ4ZKC

pith:2010:XXKZ4ZKCDKGSDDUIAZDS3PPACN

not attested not anchored not stored refs pending

A characterization of simplicial localization functors

C. Barwick, D. M. Kan

arxiv:1012.1540 v2 · 2010-12-07 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXKZ4ZKCDKGSDDUIAZDS3PPACN}

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	2026-05-18T04:32:02.447601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdd59e65421a8d218e8806472dbde0137082ccebf3c9517ac50436aa81073858

Aliases

arxiv: 1012.1540 · arxiv_version: 1012.1540v2 · doi: 10.48550/arxiv.1012.1540 · pith_short_12: XXKZ4ZKCDKGS · pith_short_16: XXKZ4ZKCDKGSDDUI · pith_short_8: XXKZ4ZKC

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/XXKZ4ZKCDKGSDDUIAZDS3PPACN \
  | 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: bdd59e65421a8d218e8806472dbde0137082ccebf3c9517ac50436aa81073858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f2700aa83e10a07a1c39402b749ebf80747d61e969988933a3193c65e1d7cff",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-12-07T15:56:36Z",
    "title_canon_sha256": "cd037d8e19d19ca8c6cd612317eda6506ed17dc8da5523280ceb3fa41a435900"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1540",
    "kind": "arxiv",
    "version": 2
  }
}