Pith Number

pith:6T352L4I

pith:2016:6T352L4IGLDSZO5DMMX44OAWYV

not attested not anchored not stored refs pending

A comparison of Newton-Okounkov polytopes of Schubert varieties

Hironori Oya, Naoki Fujita

arxiv:1610.08783 v2 · 2016-10-27 · math.AG · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6T352L4IGLDSZO5DMMX44OAWYV}

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	2026-05-18T00:39:47.239983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4f7dd2f8832c72cbba3632fce3816c54adc20304ac3ee0e0075e1264ce99b2a

Aliases

arxiv: 1610.08783 · arxiv_version: 1610.08783v2 · doi: 10.48550/arxiv.1610.08783 · pith_short_12: 6T352L4IGLDS · pith_short_16: 6T352L4IGLDSZO5D · pith_short_8: 6T352L4I

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/6T352L4IGLDSZO5DMMX44OAWYV \
  | 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: f4f7dd2f8832c72cbba3632fce3816c54adc20304ac3ee0e0075e1264ce99b2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b7269a8109b4680948a044410aa9ff61c1e899d798234becdba5f6255896d41",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-27T14:00:44Z",
    "title_canon_sha256": "6989973e7cfcd27cc405064cfd27966acecc8016e217bf4d112dfdd32592aebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08783",
    "kind": "arxiv",
    "version": 2
  }
}