Pith Number

pith:DDY5VROO

pith:2017:DDY5VROOAVWDVJQPPIG6OD5UD7

not attested not anchored not stored refs pending

Some Schubert shenanigans

Richard P. Stanley

arxiv:1704.00851 v2 · 2017-04-04 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DDY5VROOAVWDVJQPPIG6OD5UD7}

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

Principal specializations of Grothendieck polynomials

Receipt and verification

First computed	2026-05-18T00:46:58.865155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18f1dac5ce056c3aa60f7a0de70fb41fddc7fb403e43d19ea1ee30637c385edf

Aliases

arxiv: 1704.00851 · arxiv_version: 1704.00851v2 · doi: 10.48550/arxiv.1704.00851 · pith_short_12: DDY5VROOAVWD · pith_short_16: DDY5VROOAVWDVJQP · pith_short_8: DDY5VROO

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/DDY5VROOAVWDVJQPPIG6OD5UD7 \
  | 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: 18f1dac5ce056c3aa60f7a0de70fb41fddc7fb403e43d19ea1ee30637c385edf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caab5d12dd8c4041995568304b6c310d166c661244fdacfa8cf4a3c95b505237",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-04T01:55:59Z",
    "title_canon_sha256": "92a97b90e00485e9600e361e11acff74b2ef3919d1a20bf105e35dad6d051890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00851",
    "kind": "arxiv",
    "version": 2
  }
}