Pith Number

pith:4EHYGAKT

pith:2013:4EHYGAKTCIK3X6VYSGW42ROYF3

not attested not anchored not stored refs pending

Comparison of the geometric bar and W-constructions

Clemans Berger, Johannes Huebschmann

arxiv:1303.4018 v1 · 2013-03-16 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EHYGAKTCIK3X6VYSGW42ROYF3}

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	2026-05-18T03:30:40.144375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e10f8301531215bbfab891adcd45d82ecd87107ca92c38ceef43bec38773edb9

Aliases

arxiv: 1303.4018 · arxiv_version: 1303.4018v1 · doi: 10.48550/arxiv.1303.4018 · pith_short_12: 4EHYGAKTCIK3 · pith_short_16: 4EHYGAKTCIK3X6VY · pith_short_8: 4EHYGAKT

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/4EHYGAKTCIK3X6VYSGW42ROYF3 \
  | 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: e10f8301531215bbfab891adcd45d82ecd87107ca92c38ceef43bec38773edb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c38c4cee2dda709c0dd5b07e51d241e60983077c4a6c22317c75449a3e258194",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-03-16T20:58:53Z",
    "title_canon_sha256": "944e90b2812f8100dd05eb345eb1a3e495c7d3a1ef244d1be99b030416dded17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4018",
    "kind": "arxiv",
    "version": 1
  }
}