Pith Number

pith:3RQEHBYA

pith:2013:3RQEHBYAAY5YXYXMZUSJ33PNPV

not attested not anchored not stored refs pending

Hilbert function, generalized Poincar\'e series and topology of plane valuations

A. Campillo, F. Delgado, S.M. Gusein-Zade

arxiv:1303.3648 v1 · 2013-03-15 · 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{3RQEHBYAAY5YXYXMZUSJ33PNPV}

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	2026-05-18T03:30:52.795045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc60438700063b8be2eccd249deded7d7cae395bf03d163209d8fc9006c00846

Aliases

arxiv: 1303.3648 · arxiv_version: 1303.3648v1 · doi: 10.48550/arxiv.1303.3648 · pith_short_12: 3RQEHBYAAY5Y · pith_short_16: 3RQEHBYAAY5YXYXM · pith_short_8: 3RQEHBYA

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/3RQEHBYAAY5YXYXMZUSJ33PNPV \
  | 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: dc60438700063b8be2eccd249deded7d7cae395bf03d163209d8fc9006c00846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aa5c065adb280c968bdea4cbb1b91ff3e0977772b48f263ef7a81c3c6e3d23c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-15T00:39:41Z",
    "title_canon_sha256": "f4b5eccfa7e34725bfec35b3580bb92ee9800651445dc98b7619f276b94e2098"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3648",
    "kind": "arxiv",
    "version": 1
  }
}