Pith Number

pith:63D4Q7LK

pith:2012:63D4Q7LKGQPKHPW62BF6C4JWID

not attested not anchored not stored refs pending

Cycles of linear and semilinear mappings

Debora Duarte de Oliveira, Dmitry Kovalenko, Tatiana Klimchuk, Vladimir V. Sergeichuk, Vyacheslav Futorny

arxiv:1208.5418 v1 · 2012-08-27 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63D4Q7LKGQPKHPW62BF6C4JWID}

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	2026-05-18T02:56:44.512714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6c7c87d6a341ea3beded04be1713640c746abef65ebec9c65d373822b475448

Aliases

arxiv: 1208.5418 · arxiv_version: 1208.5418v1 · doi: 10.48550/arxiv.1208.5418 · pith_short_12: 63D4Q7LKGQPK · pith_short_16: 63D4Q7LKGQPKHPW6 · pith_short_8: 63D4Q7LK

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/63D4Q7LKGQPKHPW62BF6C4JWID \
  | 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: f6c7c87d6a341ea3beded04be1713640c746abef65ebec9c65d373822b475448

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7648a6c74f44918880ed0e694d7b62f82d7f2cbe569df94f7377f5ec07816362",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-27T15:17:46Z",
    "title_canon_sha256": "ff55589d43effdd1ef36b7fc7fc606f6449f77cc1afc4ce201dcc25b193a7123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5418",
    "kind": "arxiv",
    "version": 1
  }
}