Pith Number

pith:INI72IR6

pith:2014:INI72IR6F5DRZERICS5RGT6NUK

not attested not anchored not stored refs pending

Height of varieties over finitely generated fields

Jose Ignacio Burgos Gil, Martin Sombra, Patrice Philippon

arxiv:1408.3222 v2 · 2014-08-14 · 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{INI72IR6F5DRZERICS5RGT6NUK}

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	2026-05-18T01:19:03.783269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4351fd223e2f471c922814bb134fcda2ba0c44cf5ff24f739ea402ced198e503

Aliases

arxiv: 1408.3222 · arxiv_version: 1408.3222v2 · doi: 10.48550/arxiv.1408.3222 · pith_short_12: INI72IR6F5DR · pith_short_16: INI72IR6F5DRZERI · pith_short_8: INI72IR6

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/INI72IR6F5DRZERICS5RGT6NUK \
  | 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: 4351fd223e2f471c922814bb134fcda2ba0c44cf5ff24f739ea402ced198e503

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de797f3f90aea6a5a98fd22867af6b7ccb5f8e4d50329b210cbe0df8f31d4f2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-14T08:52:33Z",
    "title_canon_sha256": "f73819d974cf5a2a4a993438a4105b9f27ecdf9d7925b554a9e6d95bd8556c96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3222",
    "kind": "arxiv",
    "version": 2
  }
}