Pith Number

pith:NL2Z3IUW

pith:2011:NL2Z3IUWXY6UD2RIUBXTIC7PAE

not attested not anchored not stored refs pending

Log pluricanonical representations and abundance conjecture

Osamu Fujino, Yoshinori Gongyo

arxiv:1104.0361 v3 · 2011-04-03 · 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{NL2Z3IUWXY6UD2RIUBXTIC7PAE}

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	2026-05-18T03:58:24.790796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6af59da296be3d41ea28a06f340bef013e6e1ad4d7f49daa89a79d5fc6eee601

Aliases

arxiv: 1104.0361 · arxiv_version: 1104.0361v3 · doi: 10.48550/arxiv.1104.0361 · pith_short_12: NL2Z3IUWXY6U · pith_short_16: NL2Z3IUWXY6UD2RI · pith_short_8: NL2Z3IUW

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/NL2Z3IUWXY6UD2RIUBXTIC7PAE \
  | 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: 6af59da296be3d41ea28a06f340bef013e6e1ad4d7f49daa89a79d5fc6eee601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e70de942ff407a6780e74f7da98e39a060b6d18360a1191479cdf77d0039013a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-03T06:57:17Z",
    "title_canon_sha256": "76ab8f2561feeb57fbeb60ed28f03ad226b48daca3313464da8eb3894036311b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0361",
    "kind": "arxiv",
    "version": 3
  }
}