Pith Number

pith:HNFNFSES

pith:2016:HNFNFSES7M2P63D2AK77UNYRPE

not attested not anchored not stored refs pending

A non-Levi branching rule in terms of Littelmann paths

Bea Schumann, Jacinta Torres

arxiv:1607.08225 v3 · 2016-07-27 · math.RT · 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{HNFNFSES7M2P63D2AK77UNYRPE}

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	2026-05-18T00:09:20.611178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b4ad2c892fb34ff6c7a02bffa3711793515c5b6c9ff09fc9096da6c3a2ad8f5

Aliases

arxiv: 1607.08225 · arxiv_version: 1607.08225v3 · doi: 10.48550/arxiv.1607.08225 · pith_short_12: HNFNFSES7M2P · pith_short_16: HNFNFSES7M2P63D2 · pith_short_8: HNFNFSES

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/HNFNFSES7M2P63D2AK77UNYRPE \
  | 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: 3b4ad2c892fb34ff6c7a02bffa3711793515c5b6c9ff09fc9096da6c3a2ad8f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4843b396a75fd00cdb0c2d92e56875592d6938458dceb64fa89c2de1eb377c2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-07-27T19:28:16Z",
    "title_canon_sha256": "4b41ffbb74d2a79be3414ece8582e5aa67c4ace544693c023e304192891a921e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08225",
    "kind": "arxiv",
    "version": 3
  }
}