Pith Number

pith:ZFUDTIV7

pith:2015:ZFUDTIV7N57V2GZMLERJDQGHDT

not attested not anchored not stored refs pending

Fano n-folds with nef tangent bundle and Picard number greater than n-5

Akihiro Kanemitsu

arxiv:1505.02952 v1 · 2015-05-12 · 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{ZFUDTIV7N57V2GZMLERJDQGHDT}

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	2026-05-18T02:14:15.524881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c96839a2bf6f7f5d1b2c592291c0c71ccf7a243a277de798bfb7a074dd81aeff

Aliases

arxiv: 1505.02952 · arxiv_version: 1505.02952v1 · doi: 10.48550/arxiv.1505.02952 · pith_short_12: ZFUDTIV7N57V · pith_short_16: ZFUDTIV7N57V2GZM · pith_short_8: ZFUDTIV7

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/ZFUDTIV7N57V2GZMLERJDQGHDT \
  | 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: c96839a2bf6f7f5d1b2c592291c0c71ccf7a243a277de798bfb7a074dd81aeff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac5b0345250dc2963d283d4d33fe84e8b79686757692c4cf93250e295afc57e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-12T10:50:28Z",
    "title_canon_sha256": "9896df996ccb53eb35b8c76cb57589aab6d588ef02826a1859a1ab973eac28a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02952",
    "kind": "arxiv",
    "version": 1
  }
}