Pith Number

pith:GHI77QDB

pith:2012:GHI77QDBBQL3HTLWZAV232UOAA

not attested not anchored not stored refs pending

Solving via modular methods

Deeba Afzal, Faira Kanwal, Gerhard Pfister, Stefan Steidel

arxiv:1204.3442 v2 · 2012-04-16 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHI77QDBBQL3HTLWZAV232UOAA}

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	2026-05-18T03:21:20.835672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d1ffc0610c17b3cd76c82badea8e00181020098c21e81b92f808a645068c2d

Aliases

arxiv: 1204.3442 · arxiv_version: 1204.3442v2 · doi: 10.48550/arxiv.1204.3442 · pith_short_12: GHI77QDBBQL3 · pith_short_16: GHI77QDBBQL3HTLW · pith_short_8: GHI77QDB

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/GHI77QDBBQL3HTLWZAV232UOAA \
  | 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: 31d1ffc0610c17b3cd76c82badea8e00181020098c21e81b92f808a645068c2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4907101805794a5d9ad29379dc26ee117de9b0f141f68aae2051e12a1b288cd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-04-16T11:20:29Z",
    "title_canon_sha256": "38b5d29013b17548f7b0eb72f6798c6c761e46b588653ee8056cae16fbc71590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3442",
    "kind": "arxiv",
    "version": 2
  }
}