Pith Number

pith:QKQFDC2I

pith:2011:QKQFDC2ILUND3MU64EDCMFDI3H

not attested not anchored not stored refs pending

F-ideals of degree 2

G. Q. Abbasi, Imran Anwar, Sarfraz Ahmad, Waqas A. Baig

arxiv:1101.1780 v1 · 2011-01-10 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKQFDC2ILUND3MU64EDCMFDI3H}

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	2026-05-18T02:22:59.436228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82a0518b485d1a3db29ee106261468d9da8e47a029ed6159ac25fbc709353d9e

Aliases

arxiv: 1101.1780 · arxiv_version: 1101.1780v1 · doi: 10.48550/arxiv.1101.1780 · pith_short_12: QKQFDC2ILUND · pith_short_16: QKQFDC2ILUND3MU6 · pith_short_8: QKQFDC2I

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/QKQFDC2ILUND3MU64EDCMFDI3H \
  | 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: 82a0518b485d1a3db29ee106261468d9da8e47a029ed6159ac25fbc709353d9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d336f3c6486e0974af29eeb15686a902e247f12d64944a3d93a8fdfb3daae33c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-01-10T11:49:21Z",
    "title_canon_sha256": "897d1a9e1a74ec138d5990b7b1cd3388907884559e1e8c5254fbbe20091c3bf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1780",
    "kind": "arxiv",
    "version": 1
  }
}