Pith Number

pith:JZMJEB7P

pith:2016:JZMJEB7PBDBIEAYGVSK5SUSPEE

not attested not anchored not stored refs pending

Simplices in Newton-Okounkov bodies and the Gromov width of coadjoint orbits

Milena Pabiniak, Peter Littelmann, Xin Fang

arxiv:1607.01163 v2 · 2016-07-05 · math.SG · 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{JZMJEB7PBDBIEAYGVSK5SUSPEE}

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	2026-05-18T00:18:54.173669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e589207ef08c2820306ac95d9524f21316476519c81d31f5a6e1b398f747c2d

Aliases

arxiv: 1607.01163 · arxiv_version: 1607.01163v2 · doi: 10.48550/arxiv.1607.01163 · pith_short_12: JZMJEB7PBDBI · pith_short_16: JZMJEB7PBDBIEAYG · pith_short_8: JZMJEB7P

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/JZMJEB7PBDBIEAYGVSK5SUSPEE \
  | 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: 4e589207ef08c2820306ac95d9524f21316476519c81d31f5a6e1b398f747c2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed6eb9d7f10fc7b9d4d6189e800cec4b8358594a8a72c9c029f4117afbf5ef99",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-07-05T09:28:08Z",
    "title_canon_sha256": "7bdc3cc7f4b226de581b20d6885097f81bf097a2fccb21a5b7a81defd213c827"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01163",
    "kind": "arxiv",
    "version": 2
  }
}