Pith Number

pith:XSE2HOC5

pith:2011:XSE2HOC5UJBMEZXVQIYYQSPUVA

not attested not anchored not stored refs pending

Computing canonical heights using arithmetic intersection theory

Jan Steffen M\"uller

arxiv:1105.1719 v3 · 2011-05-09 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XSE2HOC5UJBMEZXVQIYYQSPUVA}

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	2026-05-18T03:01:11.635983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc89a3b85da242c266f582318849f4a80e8837b6ffa3144c5c004be2e3830e5c

Aliases

arxiv: 1105.1719 · arxiv_version: 1105.1719v3 · doi: 10.48550/arxiv.1105.1719 · pith_short_12: XSE2HOC5UJBM · pith_short_16: XSE2HOC5UJBMEZXV · pith_short_8: XSE2HOC5

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/XSE2HOC5UJBMEZXVQIYYQSPUVA \
  | 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: bc89a3b85da242c266f582318849f4a80e8837b6ffa3144c5c004be2e3830e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdff3d3effbef8a8ea57e2d94d4b80da547cb986395d34e34ff612e843aa09c1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-05-09T16:31:29Z",
    "title_canon_sha256": "08bd42c6be6db8fab7e02c2bc6b34e7e72313f37ffadf2a3a68309e29a7d826f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1719",
    "kind": "arxiv",
    "version": 3
  }
}