Pith Number

pith:VHDFGRS4

pith:2011:VHDFGRS4SPI6QE645K2OFMYBQE

not attested not anchored not stored refs pending

Log canonical thresholds, F-pure thresholds, and non-standard extensions

Bhargav Bhatt, Daniel J. Hernandez, Lance E. Miller, Mircea Mustata

arxiv:1106.0207 v1 · 2011-06-01 · 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{VHDFGRS4SPI6QE645K2OFMYBQE}

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	2026-05-18T04:20:51.967779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9c653465c93d1e813dceab4e2b30181059bac85add79ce62ec4e8b707d62453

Aliases

arxiv: 1106.0207 · arxiv_version: 1106.0207v1 · doi: 10.48550/arxiv.1106.0207 · pith_short_12: VHDFGRS4SPI6 · pith_short_16: VHDFGRS4SPI6QE64 · pith_short_8: VHDFGRS4

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/VHDFGRS4SPI6QE645K2OFMYBQE \
  | 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: a9c653465c93d1e813dceab4e2b30181059bac85add79ce62ec4e8b707d62453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3597e46e14f56cd265e31762a301f14b7828090e5b2d644c38cbc2a340e1d3a1",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-01T15:30:29Z",
    "title_canon_sha256": "38382d2eb3f1806bf8bcdcb0ac26cec0d34d1bef5b9326d802a4fa1e408fbec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0207",
    "kind": "arxiv",
    "version": 1
  }
}