Pith Number

pith:DRCDYRBG

pith:2009:DRCDYRBGQILIG4V5ARAYYUOUH5

not attested not anchored not stored refs pending

Green functions for killed random walks in the Weyl chamber of Sp(4)

Kilian Raschel

arxiv:0910.4355 v2 · 2009-10-22 · math.PR · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DRCDYRBGQILIG4V5ARAYYUOUH5}

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	2026-05-18T04:11:31.981414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c443c442682168372bd04418c51d43f7fb72bd71739e1c6ab28d1064731aaec

Aliases

arxiv: 0910.4355 · arxiv_version: 0910.4355v2 · doi: 10.48550/arxiv.0910.4355 · pith_short_12: DRCDYRBGQILI · pith_short_16: DRCDYRBGQILIG4V5 · pith_short_8: DRCDYRBG

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/DRCDYRBGQILIG4V5ARAYYUOUH5 \
  | 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: 1c443c442682168372bd04418c51d43f7fb72bd71739e1c6ab28d1064731aaec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6dcfccbca835bede83bb0eb543bcc8e457d1de598e3788458e8223a12b6f0b2",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-22T15:55:25Z",
    "title_canon_sha256": "d25db9da21f7360e891138eac44c4ff02b50b003d49ec3b9d16e912a845295bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4355",
    "kind": "arxiv",
    "version": 2
  }
}