Pith Number

pith:53YETF76

pith:2011:53YETF76J4IHGOQL5H25LZBDWK

not attested not anchored not stored refs pending

Key Polynomials

Wael Mahboub

arxiv:1102.1906 v4 · 2011-02-09 · math.AG · 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{53YETF76J4IHGOQL5H25LZBDWK}

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	2026-05-18T03:48:35.819853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef04997fe4f10733a0be9f5d5e423b2a0118ebe794ef33dbee61438d22f25df

Aliases

arxiv: 1102.1906 · arxiv_version: 1102.1906v4 · doi: 10.48550/arxiv.1102.1906 · pith_short_12: 53YETF76J4IH · pith_short_16: 53YETF76J4IHGOQL · pith_short_8: 53YETF76

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/53YETF76J4IHGOQL5H25LZBDWK \
  | 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: eef04997fe4f10733a0be9f5d5e423b2a0118ebe794ef33dbee61438d22f25df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60396f2500f436cb147f5bc6956493dc6c4b2ffce1fbdd72f1d0f9564a282d2b",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-09T16:58:47Z",
    "title_canon_sha256": "2d470bab488878aa066cf9d966463cfe9c69d0f2d0f6d10db623dc1d09f4c72b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1906",
    "kind": "arxiv",
    "version": 4
  }
}