Pith Number

pith:EIOYO6FE

pith:2011:EIOYO6FEV7BZ5SKAO43LHT3LP3

not attested not anchored not stored refs pending

Log-canonical models of singular pairs and its applications

Chenyang Xu, Yuji Odaka

arxiv:1108.1996 v2 · 2011-08-09 · 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{EIOYO6FEV7BZ5SKAO43LHT3LP3}

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	2026-05-18T04:05:27.236829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

221d8778a4afc39ec9407736b3cf6b7ee58a9fca75533f4e5bc73876de7fce4d

Aliases

arxiv: 1108.1996 · arxiv_version: 1108.1996v2 · doi: 10.48550/arxiv.1108.1996 · pith_short_12: EIOYO6FEV7BZ · pith_short_16: EIOYO6FEV7BZ5SKA · pith_short_8: EIOYO6FE

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/EIOYO6FEV7BZ5SKAO43LHT3LP3 \
  | 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: 221d8778a4afc39ec9407736b3cf6b7ee58a9fca75533f4e5bc73876de7fce4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "844f83bac78b7defd27ec33efab96563b32660e62266b574d5d31833cf8117bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-09T17:50:54Z",
    "title_canon_sha256": "f63382718d030d2e6f51e94e41c3fd885f43d391d330758b9707e45d805cc00f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1996",
    "kind": "arxiv",
    "version": 2
  }
}