Pith Number

pith:GOAS3NUU

pith:2010:GOAS3NUUGTT6I6AUSRHBM7ECIL

not attested not anchored not stored refs pending

Irreducible characters taking root of unity values on p-singular elements

Gabriel Navarro, Geoffrey R. Robinson

arxiv:1012.2018 v2 · 2010-12-09 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GOAS3NUUGTT6I6AUSRHBM7ECIL}

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	2026-05-18T04:33:28.707018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33812db69434e7e47814944e167c8242fbc18ef3bc290810b23d71bdf089f468

Aliases

arxiv: 1012.2018 · arxiv_version: 1012.2018v2 · doi: 10.48550/arxiv.1012.2018 · pith_short_12: GOAS3NUUGTT6 · pith_short_16: GOAS3NUUGTT6I6AU · pith_short_8: GOAS3NUU

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/GOAS3NUUGTT6I6AUSRHBM7ECIL \
  | 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: 33812db69434e7e47814944e167c8242fbc18ef3bc290810b23d71bdf089f468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7cca5f6cb8691ca85809b329d4009a5f2813f239dcb7502de207305f49cf665",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-12-09T14:40:40Z",
    "title_canon_sha256": "758c325b3172b7e7836eb4cf2df5038a86ce1de7c226d9a6947ab21d871528b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2018",
    "kind": "arxiv",
    "version": 2
  }
}