Pith Number

pith:62ICTULH

pith:2012:62ICTULHA376M53ZWQIDRDL7JD

not attested not anchored not stored refs pending

Fano manifolds having (n-1,0)-type extremal rays with large Picard number

Kento Fujita

arxiv:1212.4977 v1 · 2012-12-20 · 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{62ICTULHA376M53ZWQIDRDL7JD}

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	2026-05-18T03:38:04.180731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f69029d16706ffe67779b410388d7f48e22a06ffb067ec11c8ff6de8efc06fb2

Aliases

arxiv: 1212.4977 · arxiv_version: 1212.4977v1 · doi: 10.48550/arxiv.1212.4977 · pith_short_12: 62ICTULHA376 · pith_short_16: 62ICTULHA376M53Z · pith_short_8: 62ICTULH

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/62ICTULHA376M53ZWQIDRDL7JD \
  | 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: f69029d16706ffe67779b410388d7f48e22a06ffb067ec11c8ff6de8efc06fb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4832f9a5ecc56a24bfc4281ab846f35dc0cb52c61b7c731a98b5877013b9fbde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-20T11:10:48Z",
    "title_canon_sha256": "0356f1b6bb4390959c4eaebebaa9dcf5daa6b03adec05c180ae77293cc090ec3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4977",
    "kind": "arxiv",
    "version": 1
  }
}