Pith Number

pith:C5LF6T2K

pith:2010:C5LF6T2KZ4QT744QYDF7JYIDZY

not attested not anchored not stored refs pending

Fundamental Group and Euler Characteristic of Permutation Products and Fat Diagonals

Sadok Kallel, Walid Taamallah

arxiv:1010.1507 v2 · 2010-10-07 · math.AT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5LF6T2KZ4QT744QYDF7JYIDZY}

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	2026-05-18T03:45:40.295674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17565f4f4acf213ff390c0cbf4e103ce2122e617b2805ad2be356e3cf8de6b55

Aliases

arxiv: 1010.1507 · arxiv_version: 1010.1507v2 · doi: 10.48550/arxiv.1010.1507 · pith_short_12: C5LF6T2KZ4QT · pith_short_16: C5LF6T2KZ4QT744Q · pith_short_8: C5LF6T2K

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/C5LF6T2KZ4QT744QYDF7JYIDZY \
  | 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: 17565f4f4acf213ff390c0cbf4e103ce2122e617b2805ad2be356e3cf8de6b55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad26496f8b9e2b62db8fc881c3182f837d5a2516e4644800f40b95370c7993be",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-10-07T18:39:32Z",
    "title_canon_sha256": "78c448a8cee06e85ff866773264f5d5ca84e9d0bdc526022a110d0101795d711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1507",
    "kind": "arxiv",
    "version": 2
  }
}