Pith Number

pith:QTHPV6OM

pith:2014:QTHPV6OM3WLS4V6BCXYFA4LRDN

not attested not anchored not stored refs pending

Linear pencils encoded in the Newton polygon

Filip Cools, Wouter Castryck

arxiv:1402.4651 v4 · 2014-02-19 · math.AG · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTHPV6OM3WLS4V6BCXYFA4LRDN}

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	2026-05-18T01:17:53.426436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84cefaf9ccdd972e57c115f05071711b639c71321e028229ce20265867ee057b

Aliases

arxiv: 1402.4651 · arxiv_version: 1402.4651v4 · doi: 10.48550/arxiv.1402.4651 · pith_short_12: QTHPV6OM3WLS · pith_short_16: QTHPV6OM3WLS4V6B · pith_short_8: QTHPV6OM

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/QTHPV6OM3WLS4V6BCXYFA4LRDN \
  | 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: 84cefaf9ccdd972e57c115f05071711b639c71321e028229ce20265867ee057b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5cd50c8a4930b038099bd7d670cb1df01ab59044abd00afa8cf6f42861e6fec",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-02-19T13:07:08Z",
    "title_canon_sha256": "04fadefffbe20df78ff4b05fc0326a250e0bb4fb1fcf042c4496ad01383de9cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4651",
    "kind": "arxiv",
    "version": 4
  }
}