Pith Number

pith:PFQNA4KS

pith:2017:PFQNA4KS55VAON46FWE667GIWD

not attested not anchored not stored refs pending

Geometric aspects of Newton-Okounkov bodies

Alex K\"uronya, Victor Lozovanu

arxiv:1703.09980 v1 · 2017-03-29 · math.AG · math.AC · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFQNA4KS55VAON46FWE667GIWD}

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	2026-05-18T00:47:38.892222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7960d07152ef6a07379e2d89ef7cc8b0e14a88e038573c7f9fb10512dc21f2a9

Aliases

arxiv: 1703.09980 · arxiv_version: 1703.09980v1 · doi: 10.48550/arxiv.1703.09980 · pith_short_12: PFQNA4KS55VA · pith_short_16: PFQNA4KS55VAON46 · pith_short_8: PFQNA4KS

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/PFQNA4KS55VAON46FWE667GIWD \
  | 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: 7960d07152ef6a07379e2d89ef7cc8b0e14a88e038573c7f9fb10512dc21f2a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7733d176679bd674bd0da4d7c2abb044d6a28057a54676042cd74612b5b1fc1",
    "cross_cats_sorted": [
      "math.AC",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-29T11:43:16Z",
    "title_canon_sha256": "c2d75281aee519770bf277304170769516e5bde97eaf075e932f718bf0c2f8c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09980",
    "kind": "arxiv",
    "version": 1
  }
}