Pith Number

pith:VMNW5MTW

pith:1996:VMNW5MTWUZ42M4JAMDR5WBPGT7

not attested not anchored not stored refs pending

Rational curves and ampleness properties of the tangent bundle of algebraic varieties

Fr\'ed\'eric Campana, Thomas Peternell

arxiv:math/9607217 v1 · 1996-07-08 · 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{VMNW5MTWUZ42M4JAMDR5WBPGT7}

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	2026-05-18T01:05:47.197395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab1b6eb276a679a6712060e3db05e69fdd7987479cd29c1ca92d61c14d1a062b

Aliases

arxiv: math/9607217 · arxiv_version: math/9607217v1 · doi: 10.48550/arxiv.math/9607217 · pith_short_12: VMNW5MTWUZ42 · pith_short_16: VMNW5MTWUZ42M4JA · pith_short_8: VMNW5MTW

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/VMNW5MTWUZ42M4JAMDR5WBPGT7 \
  | 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: ab1b6eb276a679a6712060e3db05e69fdd7987479cd29c1ca92d61c14d1a062b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0bad615260b2839a30874ddc7cdcccbd1d7c8655fc2ef5a523b4c5a9242e475",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1996-07-08T00:00:00Z",
    "title_canon_sha256": "638056544c0267302ed62c8648cb8da4e09be30b5032a86ea61ffcb553b0545f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9607217",
    "kind": "arxiv",
    "version": 1
  }
}