Pith Number

pith:KOUNSP7Q

pith:2012:KOUNSP7QA3FFUQU4ZOZHW7ASCX

not attested not anchored not stored refs pending

Exponential-polynomial equations and dynamical return sets

Thomas Scanlon, Yu Yasufuku

arxiv:1212.1836 v1 · 2012-12-08 · math.DS · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOUNSP7QA3FFUQU4ZOZHW7ASCX}

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	2026-05-18T03:38:54.981563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53a8d93ff006ca5a429ccbb27b7c1215f8c4a94a5f9c234c9b8c23c9320ae699

Aliases

arxiv: 1212.1836 · arxiv_version: 1212.1836v1 · doi: 10.48550/arxiv.1212.1836 · pith_short_12: KOUNSP7QA3FF · pith_short_16: KOUNSP7QA3FFUQU4 · pith_short_8: KOUNSP7Q

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/KOUNSP7QA3FFUQU4ZOZHW7ASCX \
  | 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: 53a8d93ff006ca5a429ccbb27b7c1215f8c4a94a5f9c234c9b8c23c9320ae699

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d33970cc1a4d027387f82b7eae58398b99d7d0d08a19aa98640b89ce8c893a1",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-08T21:30:07Z",
    "title_canon_sha256": "9ce4d33629113dff109faedac1e655e439b4bcef2bb81d5104cc2f114d43da94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1836",
    "kind": "arxiv",
    "version": 1
  }
}