Pith Number

pith:GB4X7DER

pith:2014:GB4X7DERJWLOGID2T3NTZREMRB

not attested not anchored not stored refs pending

F-pure thresholds of homogeneous polynomials

Daniel J. Hern\'andez, Emily E. Witt, Luis N\'u\~nez-Betancourt, Wenliang Zhang

arxiv:1404.3772 v1 · 2014-04-14 · math.AC · 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{GB4X7DERJWLOGID2T3NTZREMRB}

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	2026-05-18T02:54:13.653411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30797f8c914d96e3207a9edb3cc48c886315fcdd4bc14ecd9fe4af4b3a648406

Aliases

arxiv: 1404.3772 · arxiv_version: 1404.3772v1 · doi: 10.48550/arxiv.1404.3772 · pith_short_12: GB4X7DERJWLO · pith_short_16: GB4X7DERJWLOGID2 · pith_short_8: GB4X7DER

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/GB4X7DERJWLOGID2T3NTZREMRB \
  | 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: 30797f8c914d96e3207a9edb3cc48c886315fcdd4bc14ecd9fe4af4b3a648406

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a18dd0c88efe8dbb2b3de5d96e8a185ec7e8d084e810dbdb3ff2b0b6265d0ae0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-04-14T22:44:55Z",
    "title_canon_sha256": "bb72c57102d7cb760a6923e51d6ce1fc385a022ca8f6b52fb123b934c4c5d064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3772",
    "kind": "arxiv",
    "version": 1
  }
}