Pith Number

pith:4DEV5BKL

pith:2013:4DEV5BKLPBQ4HMMOIXIZNWZTLF

not attested not anchored not stored refs pending

Littelmann path model for geometric crystals, Whittaker functions on Lie groups and Brownian motion

Reda Chhaibi

arxiv:1302.0902 v1 · 2013-02-04 · math.PR · math.GR · 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{4DEV5BKLPBQ4HMMOIXIZNWZTLF}

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

Gamma conjecture I for flag varieties

Receipt and verification

First computed	2026-05-18T03:34:26.832942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0c95e854b7861c3b18e45d196db3359750f5eb992f19123db55fd273a426c7c

Aliases

arxiv: 1302.0902 · arxiv_version: 1302.0902v1 · doi: 10.48550/arxiv.1302.0902 · pith_short_12: 4DEV5BKLPBQ4 · pith_short_16: 4DEV5BKLPBQ4HMMO · pith_short_8: 4DEV5BKL

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/4DEV5BKLPBQ4HMMOIXIZNWZTLF \
  | 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: e0c95e854b7861c3b18e45d196db3359750f5eb992f19123db55fd273a426c7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1c158e73f379c4b9fa0b757eb460523a29d06b9e3f36d5aaf6cf330783f420f",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-04T23:34:23Z",
    "title_canon_sha256": "cd8e12b84ef3a5459916c7ecf06d992bbe838a7c6be742f37123d2e9f0fab11f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0902",
    "kind": "arxiv",
    "version": 1
  }
}