Pith Number

pith:OOOUPUCV

pith:2013:OOOUPUCV47QFEGU4YJYVI64WEL

not attested not anchored not stored refs pending

Schur-positivity in a Square

Cristina Ballantine, Rosa Orellana

arxiv:1310.2930 v1 · 2013-10-10 · 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{OOOUPUCV47QFEGU4YJYVI64WEL}

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	2026-05-18T03:10:46.260114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

739d47d055e7e0521a9cc271547b9622e3258df5754c8904e1e6f59635284d40

Aliases

arxiv: 1310.2930 · arxiv_version: 1310.2930v1 · doi: 10.48550/arxiv.1310.2930 · pith_short_12: OOOUPUCV47QF · pith_short_16: OOOUPUCV47QFEGU4 · pith_short_8: OOOUPUCV

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/OOOUPUCV47QFEGU4YJYVI64WEL \
  | 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: 739d47d055e7e0521a9cc271547b9622e3258df5754c8904e1e6f59635284d40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f884a2af34bef379a796562b432fcaf8680430f6672d0fe48cbfc314ac3152ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-10T19:45:47Z",
    "title_canon_sha256": "4043601b3e14996029e7ed20464907f3f9338d0e6058d494606b9de9c59b80bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2930",
    "kind": "arxiv",
    "version": 1
  }
}