Pith Number

pith:UJGPHHTT

pith:2007:UJGPHHTTC45YOALQRJKZQSCCBW

not attested not anchored not stored refs pending

Characters of unipotent groups over finite fields

Mitya Boyarchenko

arxiv:0712.2614 v4 · 2007-12-17 · 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{UJGPHHTTC45YOALQRJKZQSCCBW}

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	2026-05-18T04:34:55.641341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a24cf39e73173b8701708a559848420d88ca91bb77bf4c55f91ef1c5ee73c4a2

Aliases

arxiv: 0712.2614 · arxiv_version: 0712.2614v4 · doi: 10.48550/arxiv.0712.2614 · pith_short_12: UJGPHHTTC45Y · pith_short_16: UJGPHHTTC45YOALQ · pith_short_8: UJGPHHTT

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/UJGPHHTTC45YOALQRJKZQSCCBW \
  | 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: a24cf39e73173b8701708a559848420d88ca91bb77bf4c55f91ef1c5ee73c4a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "129177ab5b0ce51fe2b803bed3d496e8b1e65bd52b6343816b2374c355fd6a1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2007-12-17T01:53:21Z",
    "title_canon_sha256": "60851d212ffe8116aef97733c457c9e70922a5c79cecd750f78f2624ea069a5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2614",
    "kind": "arxiv",
    "version": 4
  }
}