Pith Number

pith:XW743XLZ

pith:2010:XW743XLZDFSEZHDZEMVL2CT6S5

not attested not anchored not stored refs pending

Regarding a Representation-Theoretic Conjecture of Wigderson

Alexander Russell, Cristopher Moore

arxiv:1009.4136 v1 · 2010-09-21 · math.GR · cs.CC · 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{XW743XLZDFSEZHDZEMVL2CT6S5}

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	2026-05-18T04:40:34.494724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdbfcddd7919644c9c79232abd0a7e974630b8762cb2bcc53ce604bdbcb91a0d

Aliases

arxiv: 1009.4136 · arxiv_version: 1009.4136v1 · doi: 10.48550/arxiv.1009.4136 · pith_short_12: XW743XLZDFSE · pith_short_16: XW743XLZDFSEZHDZ · pith_short_8: XW743XLZ

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/XW743XLZDFSEZHDZEMVL2CT6S5 \
  | 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: bdbfcddd7919644c9c79232abd0a7e974630b8762cb2bcc53ce604bdbcb91a0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30c3433396b4a8179bff68e97ebcaf02a8af3185eaa667706d2e71832f50071a",
    "cross_cats_sorted": [
      "cs.CC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-21T16:33:35Z",
    "title_canon_sha256": "ad3982b50c18517921aba418e0b6818b8b0e8d64d352dc7a03f1f2a9424f21bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4136",
    "kind": "arxiv",
    "version": 1
  }
}