Pith Number

pith:DCCG3LEF

pith:2010:DCCG3LEFDQPDCMCSOEE7HGDOVI

not attested not anchored not stored refs pending

Geometrization of continuous characters of $\mathbb{Z}_p^\times$

Clifton Cunningham, Masoud Kamgarpour

arxiv:1012.0213 v2 · 2010-12-01 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DCCG3LEFDQPDCMCSOEE7HGDOVI}

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	2026-05-18T04:20:04.664000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18846dac851c1e3130527109f3986eaa0d2c103829a78327ec8d8806516c92cc

Aliases

arxiv: 1012.0213 · arxiv_version: 1012.0213v2 · doi: 10.48550/arxiv.1012.0213 · pith_short_12: DCCG3LEFDQPD · pith_short_16: DCCG3LEFDQPDCMCS · pith_short_8: DCCG3LEF

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/DCCG3LEFDQPDCMCSOEE7HGDOVI \
  | 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: 18846dac851c1e3130527109f3986eaa0d2c103829a78327ec8d8806516c92cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fc97916eb30655428b4251248f56c29fe728a50eb106609ecac4e5b5a518f01",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-12-01T15:18:30Z",
    "title_canon_sha256": "e8f0bf054f2b90defa74f6eb9513211afbafa0458c791cb82071e607b8a98875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0213",
    "kind": "arxiv",
    "version": 2
  }
}