Pith Number

pith:A343VCIO

pith:2013:A343VCIOWMCZZFFABIEOT3WWUG

not attested not anchored not stored refs pending

Descent sets for symplectic groups

Austria), Bruce Sagan (Department of Mathematics, Bruce W. Westbury (Department of Mathematics, Coventry), Martin Rubey (Fakult\"at f\"ur Mathematik und Geoinformation, Michigan State University), TU Wien, University of Warwick

arxiv:1303.5850 v2 · 2013-03-23 · 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{A343VCIOWMCZZFFABIEOT3WWUG}

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	2026-05-18T03:11:57.620555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06f9ba890eb3059c94a00a08e9eed6a1b4d1f18b1183e5a256456f625d2945ae

Aliases

arxiv: 1303.5850 · arxiv_version: 1303.5850v2 · doi: 10.48550/arxiv.1303.5850 · pith_short_12: A343VCIOWMCZ · pith_short_16: A343VCIOWMCZZFFA · pith_short_8: A343VCIO

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/A343VCIOWMCZZFFABIEOT3WWUG \
  | 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: 06f9ba890eb3059c94a00a08e9eed6a1b4d1f18b1183e5a256456f625d2945ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08d6daa35d6d1cead2a1194678c1b4887d1ca408eebd0c5c4f88d00c06997d71",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-23T14:43:14Z",
    "title_canon_sha256": "9b1e25dd425f3e6e3685635ef2908af02d3ba3035bca6a82978cae331b8b0c92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5850",
    "kind": "arxiv",
    "version": 2
  }
}