Pith Number

pith:SONFDNZZ

pith:2015:SONFDNZZP5DW6LT6H5VGTDUHTM

not attested not anchored not stored refs pending

Curve-rational functions

J\'anos Koll\'ar, Krzysztof Kurdyka, Wojciech Kucharz

arxiv:1509.05905 v3 · 2015-09-19 · 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{SONFDNZZP5DW6LT6H5VGTDUHTM}

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	2026-05-18T00:50:22.931799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

939a51b7397f476f2e7e3f6a698e879b27a8cc779dbf592c841dc0d6a0b3541d

Aliases

arxiv: 1509.05905 · arxiv_version: 1509.05905v3 · doi: 10.48550/arxiv.1509.05905 · pith_short_12: SONFDNZZP5DW · pith_short_16: SONFDNZZP5DW6LT6 · pith_short_8: SONFDNZZ

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/SONFDNZZP5DW6LT6H5VGTDUHTM \
  | 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: 939a51b7397f476f2e7e3f6a698e879b27a8cc779dbf592c841dc0d6a0b3541d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95cbbaa777d0782563524ba5a2db484443643b8668d5d5325c116866a9fc17ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-19T15:46:00Z",
    "title_canon_sha256": "77635305104bb47082f6f10921aeabd5f1d2b7e0641217af1958d69b2bc26ece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05905",
    "kind": "arxiv",
    "version": 3
  }
}