Pith Number

pith:VRIME2KP

pith:2012:VRIME2KPTQB4NKSJC2EM4X2P3S

not attested not anchored not stored refs pending

Proof of Lassalle's Positivity Conjecture on Schur Functions

Anne X. Y. Ren, Arthur L. B. Yang, William Y. C. Chen

arxiv:1209.0078 v1 · 2012-09-01 · 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{VRIME2KPTQB4NKSJC2EM4X2P3S}

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	2026-05-18T03:46:30.058580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac50c2694f9c03c6aa491688ce5f4fdc92062106c2aa2f0861fbaecddafc9a5b

Aliases

arxiv: 1209.0078 · arxiv_version: 1209.0078v1 · doi: 10.48550/arxiv.1209.0078 · pith_short_12: VRIME2KPTQB4 · pith_short_16: VRIME2KPTQB4NKSJ · pith_short_8: VRIME2KP

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/VRIME2KPTQB4NKSJC2EM4X2P3S \
  | 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: ac50c2694f9c03c6aa491688ce5f4fdc92062106c2aa2f0861fbaecddafc9a5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6357dbb4e778521b45d03f0d520126637b32d07e1fde2a87e39b5e0a36d00b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-01T10:11:38Z",
    "title_canon_sha256": "5f4969be793d13a16e7e234f88421e8ec4b03dc6489642b16365cd2fa9c3336a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0078",
    "kind": "arxiv",
    "version": 1
  }
}