Pith Number

pith:GL5XJLFC

pith:2017:GL5XJLFCY2IDXO7URVL6HICNPF

not attested not anchored not stored refs pending

Comprehensive factorisation systems

Clemens Berger, Ralph M. Kaufmann

arxiv:1710.09438 v2 · 2017-10-25 · math.CT · 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{GL5XJLFCY2IDXO7URVL6HICNPF}

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	2026-05-18T00:26:43.420369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32fb74aca2c6903bbbf48d57e3a04d7951236b6fd76c60af86844a50b7574ead

Aliases

arxiv: 1710.09438 · arxiv_version: 1710.09438v2 · doi: 10.48550/arxiv.1710.09438 · pith_short_12: GL5XJLFCY2ID · pith_short_16: GL5XJLFCY2IDXO7U · pith_short_8: GL5XJLFC

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/GL5XJLFCY2IDXO7URVL6HICNPF \
  | 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: 32fb74aca2c6903bbbf48d57e3a04d7951236b6fd76c60af86844a50b7574ead

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f48574e4d9c86ee5bc14e931ab11f3ef7675f7a26b780baf3e6bd99b15eaf7ab",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-10-25T19:56:38Z",
    "title_canon_sha256": "7bbc561297f95529a558119d00c47994e8c27e1d7dcf3662186413a06c4121bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09438",
    "kind": "arxiv",
    "version": 2
  }
}