Pith Number

pith:WTCVOAXT

pith:2013:WTCVOAXTHDQB4YSFJSFYJY7BLZ

not attested not anchored not stored refs pending

Root-theoretic Young diagrams and Schubert calculus II

Dominic Searles

arxiv:1311.2884 v1 · 2013-11-12 · math.CO · 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{WTCVOAXTHDQB4YSFJSFYJY7BLZ}

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	2026-05-18T03:07:21.614501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4c55702f338e01e62454c8b84e3e15e5900b14e7a2ddcc8ff03179f567dc45f

Aliases

arxiv: 1311.2884 · arxiv_version: 1311.2884v1 · doi: 10.48550/arxiv.1311.2884 · pith_short_12: WTCVOAXTHDQB · pith_short_16: WTCVOAXTHDQB4YSF · pith_short_8: WTCVOAXT

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/WTCVOAXTHDQB4YSFJSFYJY7BLZ \
  | 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: b4c55702f338e01e62454c8b84e3e15e5900b14e7a2ddcc8ff03179f567dc45f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "538ecf5934889587bf3e8e441340d00af0cc312d75cf13db46931e246626b369",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-12T19:04:58Z",
    "title_canon_sha256": "f5222fabe997d08871d447921ccab2c7b4986e6271b652763838c4288d16085b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2884",
    "kind": "arxiv",
    "version": 1
  }
}