Pith Number

pith:5SRHD3LT

pith:2012:5SRHD3LTYXJTE3XALZT2TKOHXR

not attested not anchored not stored refs pending

The Littlewood-Richardson rule and Gelfand-Tsetlin patterns

Patrick Doolan, Sangjib Kim

arxiv:1203.2727 v3 · 2012-03-13 · math.CO · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SRHD3LTYXJTE3XALZT2TKOHXR}

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	2026-05-18T02:57:33.962041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eca271ed73c5d3326ee05e67a9a9c7bc7d7f2ff9c2f9a3d4afa0ac57e34f21c8

Aliases

arxiv: 1203.2727 · arxiv_version: 1203.2727v3 · doi: 10.48550/arxiv.1203.2727 · pith_short_12: 5SRHD3LTYXJT · pith_short_16: 5SRHD3LTYXJTE3XA · pith_short_8: 5SRHD3LT

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/5SRHD3LTYXJTE3XALZT2TKOHXR \
  | 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: eca271ed73c5d3326ee05e67a9a9c7bc7d7f2ff9c2f9a3d4afa0ac57e34f21c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fff075082168feb7c3133fc908b2d1ade8a77da003c30c574f18c48a8dd3232",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-13T07:54:19Z",
    "title_canon_sha256": "200a9eacbc88df6eb8fa8691ccc3780ac73690a2daec3863e52e49e5e7befcd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2727",
    "kind": "arxiv",
    "version": 3
  }
}