Pith Number

pith:IIC5P5E3

pith:2013:IIC5P5E3UQHVYBYGAZO4K6TTZ2

not attested not anchored not stored refs pending

The weak ordinarity conjecture and $F$-singularities

Bhargav Bhatt, Karl Schwede, Shunsuke Takagi

arxiv:1307.3763 v3 · 2013-07-14 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IIC5P5E3UQHVYBYGAZO4K6TTZ2}

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	2026-05-18T01:18:57.762424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4205d7f49ba40f5c0706065dc57a73ce915a64c300bf3b8d98eb32359cebd83b

Aliases

arxiv: 1307.3763 · arxiv_version: 1307.3763v3 · doi: 10.48550/arxiv.1307.3763 · pith_short_12: IIC5P5E3UQHV · pith_short_16: IIC5P5E3UQHVYBYG · pith_short_8: IIC5P5E3

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/IIC5P5E3UQHVYBYGAZO4K6TTZ2 \
  | 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: 4205d7f49ba40f5c0706065dc57a73ce915a64c300bf3b8d98eb32359cebd83b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97aac2fc5035ecc428839ac2ed66aaedbb6a6ea11494c8f08e124f55b354dd05",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-14T18:19:14Z",
    "title_canon_sha256": "364c9c66753f2e1dee7e129df105b9fd55981b1077ccf3f9082af00f26bd14f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3763",
    "kind": "arxiv",
    "version": 3
  }
}