Pith Number

pith:WDOPMTLZ

pith:2008:WDOPMTLZI5I22GRMNZRRW6FXWB

not attested not anchored not stored refs pending

Theory of non-lc ideal sheaves -basic properties-

Osamu Fujino

arxiv:0801.2198 v5 · 2008-01-15 · 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{WDOPMTLZI5I22GRMNZRRW6FXWB}

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	2026-05-18T02:29:30.416872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0dcf64d794751ad1a2c6e631b78b7b049f3b29ca8aa9cafa732777ef5df8a4f

Aliases

arxiv: 0801.2198 · arxiv_version: 0801.2198v5 · doi: 10.48550/arxiv.0801.2198 · pith_short_12: WDOPMTLZI5I2 · pith_short_16: WDOPMTLZI5I22GRM · pith_short_8: WDOPMTLZ

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/WDOPMTLZI5I22GRMNZRRW6FXWB \
  | 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: b0dcf64d794751ad1a2c6e631b78b7b049f3b29ca8aa9cafa732777ef5df8a4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20ba6e5b82675d62bafd98cdd269619f14c794ebd5f1ba1985ee6701a76e86b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-01-15T02:40:05Z",
    "title_canon_sha256": "bdfaad1398b7b73916ac50ad70cc6299e5a3d1af2dcb5ea958cbbfa7d8f9bced"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.2198",
    "kind": "arxiv",
    "version": 5
  }
}