Pith Number

pith:MQQC2HDE

pith:2011:MQQC2HDECKMMBYNQIHOIKJ2LDJ

not attested not anchored not stored refs pending

On isotopisms and strong isotopisms of commutative presemifields

Giuseppe Marino, Olga Polverino

arxiv:1105.5940 v2 · 2011-05-30 · math.CO · 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{MQQC2HDECKMMBYNQIHOIKJ2LDJ}

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	2026-05-18T04:14:07.578008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64202d1c641298c0e1b041dc85274b1a512e2e42e27cced730f29eccbf33c33b

Aliases

arxiv: 1105.5940 · arxiv_version: 1105.5940v2 · doi: 10.48550/arxiv.1105.5940 · pith_short_12: MQQC2HDECKMM · pith_short_16: MQQC2HDECKMMBYNQ · pith_short_8: MQQC2HDE

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/MQQC2HDECKMMBYNQIHOIKJ2LDJ \
  | 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: 64202d1c641298c0e1b041dc85274b1a512e2e42e27cced730f29eccbf33c33b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b38ca4ac2f827460b3842a7cf47d77440af04501af563567488df2e6ca68b57",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-30T10:49:58Z",
    "title_canon_sha256": "2c21a616eadd7fa68acf82bffda2e2cb4cf530824ef723f5b1ab67fc4e0e60a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5940",
    "kind": "arxiv",
    "version": 2
  }
}