Pith Number

pith:D5Y4OPO7

pith:2017:D5Y4OPO7NNZJNMACT4TB5VNSTV

not attested not anchored not stored refs pending

Schubert puzzles and integrability I: invariant trilinear forms

Allen Knutson, Paul Zinn-Justin

arxiv:1706.10019 v8 · 2017-06-30 · math.CO · math-ph · math.AG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D5Y4OPO7NNZJNMACT4TB5VNSTV}

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.

Cited by

1 paper in Pith

Stretched Schubert coefficients are eventually quasi-polynomial

Receipt and verification

First computed	2026-07-05T11:52:10.603041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f71c73ddf6b7296b0029f261ed5b29d676e32823cf3c91a1f00cfa23435fc7e

Aliases

arxiv: 1706.10019 · arxiv_version: 1706.10019v8 · doi: 10.48550/arxiv.1706.10019 · pith_short_12: D5Y4OPO7NNZJ · pith_short_16: D5Y4OPO7NNZJNMAC · pith_short_8: D5Y4OPO7

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/D5Y4OPO7NNZJNMACT4TB5VNSTV \
  | 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: 1f71c73ddf6b7296b0029f261ed5b29d676e32823cf3c91a1f00cfa23435fc7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db9cb1253ff587d319fca98bcb8fe4a1af5d2d0b15c073225f37d0ac8fe19877",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-30T04:37:53Z",
    "title_canon_sha256": "ed65f876a5cbcc8da8b50d5ddc33262009009d53f328cffff1ba426077b5937a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.10019",
    "kind": "arxiv",
    "version": 8
  }
}