Pith Number

pith:WK53XU2F

pith:2017:WK53XU2F74QOGFFLC53EQSVFMZ

not attested not anchored not stored refs pending

Products of CW complexes

Andrew D. Brooke-Taylor

arxiv:1710.05296 v2 · 2017-10-15 · math.GN · math.AT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WK53XU2F74QOGFFLC53EQSVFMZ}

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.

Cited by

1 paper in Pith

Short, new proofs of Dowker duality

Receipt and verification

First computed	2026-05-18T00:06:51.074740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2bbbbd345ff20e314ab1776484aa5666d717983b3e5dcd4df338fd684f4d9f0

Aliases

arxiv: 1710.05296 · arxiv_version: 1710.05296v2 · doi: 10.48550/arxiv.1710.05296 · pith_short_12: WK53XU2F74QO · pith_short_16: WK53XU2F74QOGFFL · pith_short_8: WK53XU2F

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/WK53XU2F74QOGFFLC53EQSVFMZ \
  | 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: b2bbbbd345ff20e314ab1776484aa5666d717983b3e5dcd4df338fd684f4d9f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "160d3e3a5e7684f3e48d9fae33d0ea534fd2bcaaebc907e0f8653bbe5a44b2b8",
    "cross_cats_sorted": [
      "math.AT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2017-10-15T07:39:15Z",
    "title_canon_sha256": "fb0ca670aa5679e4960b092b71118c11d92bdadac5f5fbb6f0d6df4aa2b8b645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05296",
    "kind": "arxiv",
    "version": 2
  }
}