Pith Number

pith:CAPZQCEX

pith:2018:CAPZQCEXPDF3E72HAGPHIZMFZM

not attested not anchored not stored refs pending

Schubert calculus on Newton-Okounkov polytopes

Maria Padalko, Valentina Kiritchenko

arxiv:1812.04328 v1 · 2018-12-11 · 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{CAPZQCEXPDF3E72HAGPHIZMFZM}

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	2026-05-17T23:58:32.518259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

101f98089778cbb27f47019e746585cb0e203d0c23c64f6d17cfb7c68ce16739

Aliases

arxiv: 1812.04328 · arxiv_version: 1812.04328v1 · doi: 10.48550/arxiv.1812.04328 · pith_short_12: CAPZQCEXPDF3 · pith_short_16: CAPZQCEXPDF3E72H · pith_short_8: CAPZQCEX

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/CAPZQCEXPDF3E72HAGPHIZMFZM \
  | 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: 101f98089778cbb27f47019e746585cb0e203d0c23c64f6d17cfb7c68ce16739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c3343ab2e15e5534bed9264b447b70abfab8921a0f51f6b3992fb70f20de9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-12-11T11:00:26Z",
    "title_canon_sha256": "67b18c2debaaee27c55e812e8daf7f273cef93fa797157e63758cae8b410ea38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04328",
    "kind": "arxiv",
    "version": 1
  }
}