Pith Number

pith:5EDONIBN

pith:2011:5EDONIBNHLBARPQ2PFBKC5NRNZ

not attested not anchored not stored refs pending

On $p-$Ring

Mohammed Kabbour

arxiv:1107.0447 v1 · 2011-07-03 · 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{5EDONIBNHLBARPQ2PFBKC5NRNZ}

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	2026-05-18T04:18:53.949018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e906e6a02d3ac208be1a7942a175b16e5deb9b83727e6b1d0bb0af1b6c98ffdd

Aliases

arxiv: 1107.0447 · arxiv_version: 1107.0447v1 · doi: 10.48550/arxiv.1107.0447 · pith_short_12: 5EDONIBNHLBA · pith_short_16: 5EDONIBNHLBARPQ2 · pith_short_8: 5EDONIBN

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/5EDONIBNHLBARPQ2PFBKC5NRNZ \
  | 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: e906e6a02d3ac208be1a7942a175b16e5deb9b83727e6b1d0bb0af1b6c98ffdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da8a9b8c556da936ed86602243e9a8ddfcc8a8daf38caf6a8065ebe35d6df3df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-07-03T11:33:14Z",
    "title_canon_sha256": "1aac516c044e0d3a8fad9cc8b05fe10dbe0adaff12905455c7ab28c1f39a61e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0447",
    "kind": "arxiv",
    "version": 1
  }
}