Pith Number

pith:5XUG4NN2

pith:2010:5XUG4NN24425675GEDRSNK2DSL

not attested not anchored not stored refs pending

Variation of the canonical height for a family of polynomials

Patrick Ingram

arxiv:1003.4225 v3 · 2010-03-22 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5XUG4NN24425675GEDRSNK2DSL}

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	2026-05-18T04:22:50.133580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ede86e35bae735df7fa620e326ab4392c559cfda484500a3959efb9cd4706f65

Aliases

arxiv: 1003.4225 · arxiv_version: 1003.4225v3 · doi: 10.48550/arxiv.1003.4225 · pith_short_12: 5XUG4NN24425 · pith_short_16: 5XUG4NN24425675G · pith_short_8: 5XUG4NN2

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/5XUG4NN24425675GEDRSNK2DSL \
  | 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: ede86e35bae735df7fa620e326ab4392c559cfda484500a3959efb9cd4706f65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b95fd7ae56af7ae2f166836dfbdbd23ae423eb25329c5d6779d898b36ade2ca",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-03-22T17:45:49Z",
    "title_canon_sha256": "2b5dc4c8d61ceb2b3c903d38d966ad3d0bc01199a050bece45c57afd77ce7bb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4225",
    "kind": "arxiv",
    "version": 3
  }
}