Pith Number

pith:D3QSFW6C

pith:2014:D3QSFW6CEM7XAARRZJDX6CNMCN

not attested not anchored not stored refs pending

Rank-2 syzygy bundles on Fermat curves and an application to Hilbert-Kunz functions

Almar Kaid, Daniel Brinkmann

arxiv:1410.0872 v1 · 2014-10-03 · 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{D3QSFW6CEM7XAARRZJDX6CNMCN}

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	2026-05-18T02:41:09.551899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ee122dbc2233f700231ca477f09ac135bc711b85b0c9c0c02f49b0b7ea32d04

Aliases

arxiv: 1410.0872 · arxiv_version: 1410.0872v1 · doi: 10.48550/arxiv.1410.0872 · pith_short_12: D3QSFW6CEM7X · pith_short_16: D3QSFW6CEM7XAARR · pith_short_8: D3QSFW6C

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/D3QSFW6CEM7XAARRZJDX6CNMCN \
  | 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: 1ee122dbc2233f700231ca477f09ac135bc711b85b0c9c0c02f49b0b7ea32d04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13ce1d13f9dcca927d7f376873244b2e3d17b1267d84265ad5cbacbe2486f0d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-03T14:55:37Z",
    "title_canon_sha256": "9fb7e637c4246b12a48e51489386dfa61ea13ada0032739d9dd05ea600e98fad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0872",
    "kind": "arxiv",
    "version": 1
  }
}