Pith Number

pith:UL5KGWZK

pith:2011:UL5KGWZKKSJDEPVJTBPKJ455QY

not attested not anchored not stored refs pending

Embedding problems with local conditions and the admissibility of finite groups

Nguyen Duy Tan

arxiv:1102.3984 v1 · 2011-02-19 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UL5KGWZKKSJDEPVJTBPKJ455QY}

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	2026-05-18T04:28:19.319301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2faa35b2a5492323ea9985ea4f3bd8611d57cc4b5d7ff5cc99e6bd00452d564

Aliases

arxiv: 1102.3984 · arxiv_version: 1102.3984v1 · doi: 10.48550/arxiv.1102.3984 · pith_short_12: UL5KGWZKKSJD · pith_short_16: UL5KGWZKKSJDEPVJ · pith_short_8: UL5KGWZK

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/UL5KGWZKKSJDEPVJTBPKJ455QY \
  | 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: a2faa35b2a5492323ea9985ea4f3bd8611d57cc4b5d7ff5cc99e6bd00452d564

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0623645d1878cfda2403cc0afe158ec6fa6fc677547a083e2a3f4cc66bd83433",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-19T11:31:39Z",
    "title_canon_sha256": "60dfbda814dab43220c8937df6d4ecb579b76c647c474d39489d8e68cd4e5d20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3984",
    "kind": "arxiv",
    "version": 1
  }
}