Pith Number

pith:K6NQWFO3

pith:2013:K6NQWFO3656HUQ66DYXVK56QFX

not attested not anchored not stored refs pending

$F$-jumping and $F$-Jacobian ideals for hypersurfaces

Felipe P\'erez, Luis N\'u\~nez-Betancourt

arxiv:1302.3327 v2 · 2013-02-14 · 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{K6NQWFO3656HUQ66DYXVK56QFX}

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	2026-05-18T03:26:52.219359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

579b0b15dbf77c7a43de1e2f5577d02df182885fb926776662217bd47306559b

Aliases

arxiv: 1302.3327 · arxiv_version: 1302.3327v2 · doi: 10.48550/arxiv.1302.3327 · pith_short_12: K6NQWFO3656H · pith_short_16: K6NQWFO3656HUQ66 · pith_short_8: K6NQWFO3

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/K6NQWFO3656HUQ66DYXVK56QFX \
  | 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: 579b0b15dbf77c7a43de1e2f5577d02df182885fb926776662217bd47306559b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33f6bec14f80c0ce3d07b4cc548fa4bc5e5a80bf385de1000d98c9b93765a562",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-02-14T07:39:39Z",
    "title_canon_sha256": "7f4112cb84233fd03da6f39f9e6fc043889098d5da659dffa72504128acbe532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3327",
    "kind": "arxiv",
    "version": 2
  }
}