Pith Number

pith:HYFFR4EK

pith:2011:HYFFR4EK5H2EFKJLA7FF6DBGUA

not attested not anchored not stored refs pending

F-pure thresholds of binomial hypersurfaces

Daniel J. Hern\'andez

arxiv:1112.2427 v1 · 2011-12-12 · 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{HYFFR4EK5H2EFKJLA7FF6DBGUA}

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	2026-05-18T04:06:34.439301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e0a58f08ae9f442a92b07ca5f0c26a02e8f4df15b724d51696fa1a202f71e71

Aliases

arxiv: 1112.2427 · arxiv_version: 1112.2427v1 · doi: 10.48550/arxiv.1112.2427 · pith_short_12: HYFFR4EK5H2E · pith_short_16: HYFFR4EK5H2EFKJL · pith_short_8: HYFFR4EK

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/HYFFR4EK5H2EFKJLA7FF6DBGUA \
  | 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: 3e0a58f08ae9f442a92b07ca5f0c26a02e8f4df15b724d51696fa1a202f71e71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ec245c120f07bc5510b00273fbde721018a9dfeb7103b0678dbb05b7cdb49d1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-12-12T02:40:50Z",
    "title_canon_sha256": "7c955dbec489355ed88b769a383bb07740c54d508138fcf57a47b834dc5be262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2427",
    "kind": "arxiv",
    "version": 1
  }
}