Pith Number

pith:NDD5ZVAT

pith:2014:NDD5ZVATSWIMCS2ZB66BJANC4Z

not attested not anchored not stored refs pending

High-school algebra of the theory of dicritical divisors: atypical fibres for special pencils and polynomials

A. Melle-Hern\'andez, E. Artal Bartolo, I. Luengo

arxiv:1408.0743 v1 · 2014-08-04 · 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{NDD5ZVATSWIMCS2ZB66BJANC4Z}

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	2026-05-18T00:16:57.022399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68c7dcd4139590c14b590fbc1481a2e675c43249af17bfc74e437b72ff43668c

Aliases

arxiv: 1408.0743 · arxiv_version: 1408.0743v1 · doi: 10.48550/arxiv.1408.0743 · pith_short_12: NDD5ZVATSWIM · pith_short_16: NDD5ZVATSWIMCS2Z · pith_short_8: NDD5ZVAT

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/NDD5ZVATSWIMCS2ZB66BJANC4Z \
  | 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: 68c7dcd4139590c14b590fbc1481a2e675c43249af17bfc74e437b72ff43668c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f6a3308f9a3d0b53c01b821ed9f26e5788ebe6bfb9a1d1b1a1a71f1f2908b62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-08-04T16:54:25Z",
    "title_canon_sha256": "52fddd284863adacef7ac67bd0cc591046bd03b94362be5dd3161c5112688f97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0743",
    "kind": "arxiv",
    "version": 1
  }
}