Pith Number

pith:WJJMQQKX

pith:2011:WJJMQQKXVHXZO7EIDHCYOSEW2Q

not attested not anchored not stored refs pending

Canonical heights for Henon maps

Patrick Ingram

arxiv:1111.3609 v1 · 2011-11-15 · 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{WJJMQQKXVHXZO7EIDHCYOSEW2Q}

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	2026-05-18T02:58:00.175412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b252c84157a9ef977c8819c5874896d4117fa7f1932b01e900c93e20702359c3

Aliases

arxiv: 1111.3609 · arxiv_version: 1111.3609v1 · doi: 10.48550/arxiv.1111.3609 · pith_short_12: WJJMQQKXVHXZ · pith_short_16: WJJMQQKXVHXZO7EI · pith_short_8: WJJMQQKX

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/WJJMQQKXVHXZO7EIDHCYOSEW2Q \
  | 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: b252c84157a9ef977c8819c5874896d4117fa7f1932b01e900c93e20702359c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e789651366fbe4769b24e5af5de86de0a5c786a1d6c76f74e9e7b180ea5945a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-15T18:46:39Z",
    "title_canon_sha256": "cf90467c71bde5dd8fccb4873a2ebcfeb1305c94e31503c67aec1afcf332d4d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3609",
    "kind": "arxiv",
    "version": 1
  }
}