Pith Number

pith:MFCOFANH

pith:2009:MFCOFANHA64KP6WZURTNLY7H7A

not attested not anchored not stored refs pending

Bijective proofs for Schur function identities

Markus Fulmek

arxiv:0909.5334 v1 · 2009-09-29 · 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{MFCOFANHA64KP6WZURTNLY7H7A}

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

On universal quadratic inequalities for minors of TNN matrices

Receipt and verification

First computed	2026-07-04T15:53:16.679907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6144e281a707b8a7fad9a466d5e3e7f8015cf514d7f9f0ea7f807af75b9b8e15

Aliases

arxiv: 0909.5334 · arxiv_version: 0909.5334v1 · doi: 10.48550/arxiv.0909.5334 · pith_short_12: MFCOFANHA64K · pith_short_16: MFCOFANHA64KP6WZ · pith_short_8: MFCOFANH

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/MFCOFANHA64KP6WZURTNLY7H7A \
  | 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: 6144e281a707b8a7fad9a466d5e3e7f8015cf514d7f9f0ea7f807af75b9b8e15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66456d7f599b0e8986253e0565a1e4bbb8dd71a700ab9bde64535630448ff536",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-09-29T13:14:39Z",
    "title_canon_sha256": "98c8c6e0e825ecda956a360d6fb0c2d9b32595c29159a8208fc3322df15acd05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5334",
    "kind": "arxiv",
    "version": 1
  }
}