Pith Number

pith:3E5SZHQB

pith:2013:3E5SZHQBHLFZUZKCGQ2COEI3SC

not attested not anchored not stored refs pending

Dirac cohomology of unipotent representations of Sp(2n,R) and U(p,q)

Dan Barbasch, Pavle Pand\v{z}i\'c

arxiv:1302.2503 v2 · 2013-02-11 · 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{3E5SZHQBHLFZUZKCGQ2COEI3SC}

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	2026-05-18T03:33:13.390097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d93b2c9e013acb9a6542343427111b90a5309abd4d92b6d20cc7130f27335b46

Aliases

arxiv: 1302.2503 · arxiv_version: 1302.2503v2 · doi: 10.48550/arxiv.1302.2503 · pith_short_12: 3E5SZHQBHLFZ · pith_short_16: 3E5SZHQBHLFZUZKC · pith_short_8: 3E5SZHQB

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/3E5SZHQBHLFZUZKCGQ2COEI3SC \
  | 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: d93b2c9e013acb9a6542343427111b90a5309abd4d92b6d20cc7130f27335b46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72f42270944d39af1fc538ef1461f30f9581a6e7ac007fa0ec4f47c8a718e01a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-02-11T15:33:39Z",
    "title_canon_sha256": "c4fb1e83c9392cde2dea84311a2b409d89554bd3cdd19de2ca01450da38f3f46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2503",
    "kind": "arxiv",
    "version": 2
  }
}