Pith Number

pith:VC4G334R

pith:1999:VC4G334RJLXGXS7NQAZQC3GW7G

not attested not anchored not stored refs pending

The Adjunction Conjecture and its applications

Florin Ambro

arxiv:math/9903060 v3 · 1999-03-10 · 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{VC4G334RJLXGXS7NQAZQC3GW7G}

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.

Cited by

2 papers in Pith

On the DCC Property of Iitaka Volume with Real Coefficients and Generalised Pairs

Receipt and verification

First computed	2026-07-04T14:41:04.873135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8b86def914aee6bcbed8033016cd6f99b84ae5d0ae5a726c0aae551e3eded3f

Aliases

arxiv: math/9903060 · arxiv_version: math/9903060v3 · doi: 10.48550/arxiv.math/9903060 · pith_short_12: VC4G334RJLXG · pith_short_16: VC4G334RJLXGXS7N · pith_short_8: VC4G334R

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/VC4G334RJLXGXS7NQAZQC3GW7G \
  | 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: a8b86def914aee6bcbed8033016cd6f99b84ae5d0ae5a726c0aae551e3eded3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ad8f902d43766df9a149f32008bb00f66a9ff6026a55fb743ab6e8da75365e4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-03-10T21:32:48Z",
    "title_canon_sha256": "d10b4c7fe6d0d685df8efe200ffe0a07fb36360b2158bf3927e82a6c1533f36d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9903060",
    "kind": "arxiv",
    "version": 3
  }
}