Pith Number

pith:FDZABLGF

pith:2012:FDZABLGFBAPFXUGP5DA4LB37VZ

not attested not anchored not stored refs pending

Raising operators and the Littlewood-Richardson polynomials

Alex Fun

arxiv:1203.4729 v1 · 2012-03-21 · 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{FDZABLGFBAPFXUGP5DA4LB37VZ}

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 the Boson-Fermion Correspondence for Factorial Schur Functions

Receipt and verification

First computed	2026-05-18T03:59:37.346871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28f200acc5081e5bd0cfe8c1c5877fae4efe6f4b5ae31ab9876829deeaa407b3

Aliases

arxiv: 1203.4729 · arxiv_version: 1203.4729v1 · doi: 10.48550/arxiv.1203.4729 · pith_short_12: FDZABLGFBAPF · pith_short_16: FDZABLGFBAPFXUGP · pith_short_8: FDZABLGF

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/FDZABLGFBAPFXUGP5DA4LB37VZ \
  | 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: 28f200acc5081e5bd0cfe8c1c5877fae4efe6f4b5ae31ab9876829deeaa407b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c014495ab1b7f39ecd8fca202aacd07629618030b63c6d00f8e4c5a8e75c9610",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-21T13:30:08Z",
    "title_canon_sha256": "81c0bbe694a216ad0fc87be2cba63862b7ad105fed8980e6b1f825c3cf5b186f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4729",
    "kind": "arxiv",
    "version": 1
  }
}