Pith Number

pith:Y7AT33XY

pith:2016:Y7AT33XYBUGTQTDPKEO5TKES55

not attested not anchored not stored refs pending

Newton-Okounkov bodies and complexity functions

David Schmitz, Mihai Fulger

arxiv:1603.09191 v1 · 2016-03-30 · 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{Y7AT33XYBUGTQTDPKEO5TKES55}

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	2026-05-18T01:18:01.198898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7c13deef80d0d384c6f511dd9a892ef69685140407cb402b58e2a9adccefcf1

Aliases

arxiv: 1603.09191 · arxiv_version: 1603.09191v1 · doi: 10.48550/arxiv.1603.09191 · pith_short_12: Y7AT33XYBUGT · pith_short_16: Y7AT33XYBUGTQTDP · pith_short_8: Y7AT33XY

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/Y7AT33XYBUGTQTDPKEO5TKES55 \
  | 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: c7c13deef80d0d384c6f511dd9a892ef69685140407cb402b58e2a9adccefcf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f50808c7ab32b49d5303a5e29c37d0366cf07af14ea5532ee5ff9718115ac300",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-30T13:45:18Z",
    "title_canon_sha256": "22264abdbfd40943242caba8305c3e9cdd62167557c75dc21959cf164a0ccb4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09191",
    "kind": "arxiv",
    "version": 1
  }
}