Pith Number

pith:L6T56JGH

pith:2010:L6T56JGH4XKSROHM7WH4N5MCMN

not attested not anchored not stored refs pending

Canonical Class Inequality for Fibred Spaces

Jun Lu, Kang Zuo, Sheng-Li Tan

arxiv:1009.5246 v2 · 2010-09-27 · 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{L6T56JGH4XKSROHM7WH4N5MCMN}

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	2026-05-18T04:40:09.162591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fa7df24c7e5d528b8ecfd8fc6f58263558570ce4cb2b2dedad0376abbd943ae

Aliases

arxiv: 1009.5246 · arxiv_version: 1009.5246v2 · doi: 10.48550/arxiv.1009.5246 · pith_short_12: L6T56JGH4XKS · pith_short_16: L6T56JGH4XKSROHM · pith_short_8: L6T56JGH

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/L6T56JGH4XKSROHM7WH4N5MCMN \
  | 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: 5fa7df24c7e5d528b8ecfd8fc6f58263558570ce4cb2b2dedad0376abbd943ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b25561b545b6172514a25b2eed9a3785c8d7c79c3ab6e53426f259d34e02aa74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-27T13:06:58Z",
    "title_canon_sha256": "f36c9f9261cf228070ce0b18422de9ef08540d746b6bef2f5f86e7f8f4a00acd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5246",
    "kind": "arxiv",
    "version": 2
  }
}