Pith Number

pith:NCTFJ37P

pith:2011:NCTFJ37PQFXQPWMVRFHTW5T6Q7

not attested not anchored not stored refs pending

Third order operator with small periodic coefficients

Andrey Badanin, Evgeny Korotyaev

arxiv:1105.3545 v1 · 2011-05-18 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCTFJ37PQFXQPWMVRFHTW5T6Q7}

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	2026-05-18T04:21:52.396957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68a654efef816f07d995894f3b767e87e8a33db3ca31baa1ee9f0061a445fb55

Aliases

arxiv: 1105.3545 · arxiv_version: 1105.3545v1 · doi: 10.48550/arxiv.1105.3545 · pith_short_12: NCTFJ37PQFXQ · pith_short_16: NCTFJ37PQFXQPWMV · pith_short_8: NCTFJ37P

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/NCTFJ37PQFXQPWMVRFHTW5T6Q7 \
  | 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: 68a654efef816f07d995894f3b767e87e8a33db3ca31baa1ee9f0061a445fb55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d32e3c8ac8db673929091091d65b1e190f976501efaa6beaac6b4a951344f074",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-05-18T06:52:10Z",
    "title_canon_sha256": "f809a19d0c10ab2be05aa43da7a5d76ce91c5b815f311b605651b00fc9ccf3ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3545",
    "kind": "arxiv",
    "version": 1
  }
}