Pith Number

pith:X3QGF65G

pith:2015:X3QGF65GQABYLGCXMT2YFGWN5V

not attested not anchored not stored refs pending

Local positivity in terms of Newton-Okounkov bodies

Joaquim Ro\'e

arxiv:1505.02051 v2 · 2015-05-08 · 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{X3QGF65GQABYLGCXMT2YFGWN5V}

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	2026-05-18T01:21:15.962410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bee062fba6800385985764f5829acded71143da0123d5aa8878833f38bf55b49

Aliases

arxiv: 1505.02051 · arxiv_version: 1505.02051v2 · doi: 10.48550/arxiv.1505.02051 · pith_short_12: X3QGF65GQABY · pith_short_16: X3QGF65GQABYLGCX · pith_short_8: X3QGF65G

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/X3QGF65GQABYLGCXMT2YFGWN5V \
  | 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: bee062fba6800385985764f5829acded71143da0123d5aa8878833f38bf55b49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cfe37509e7f9d4126776f79110f7ccfc3466a2ee27a3049567cbc00c3d2beb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-08T14:37:27Z",
    "title_canon_sha256": "159cd4eb72f2c11b4ad570c1d8d3f7889a0f6dcb3e2da4fe95cf956c20b9504a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02051",
    "kind": "arxiv",
    "version": 2
  }
}