Pith Number

pith:DOCRGEJI

pith:2011:DOCRGEJIU5YI7JC5BVHVMJYQYB

not attested not anchored not stored refs pending

Uniform bounds for the Iitaka fibration

Gabriele Di Cerbo

arxiv:1111.6662 v1 · 2011-11-29 · 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{DOCRGEJIU5YI7JC5BVHVMJYQYB}

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	2026-05-18T04:07:28.803340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b85131128a7708fa45d0d4f562710c050b1974b761fd2b26f9e00048a5e845e

Aliases

arxiv: 1111.6662 · arxiv_version: 1111.6662v1 · doi: 10.48550/arxiv.1111.6662 · pith_short_12: DOCRGEJIU5YI · pith_short_16: DOCRGEJIU5YI7JC5 · pith_short_8: DOCRGEJI

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/DOCRGEJIU5YI7JC5BVHVMJYQYB \
  | 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: 1b85131128a7708fa45d0d4f562710c050b1974b761fd2b26f9e00048a5e845e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d082b3458ae94d1d4c397b508ee6e1e60011dd9cd23dcb7988221d6f0c0a7af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-29T01:48:44Z",
    "title_canon_sha256": "7b4641435bdf3c8996bb99ae8270e93532fb8e56ba4ffbd32b6ba46931879836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6662",
    "kind": "arxiv",
    "version": 1
  }
}