Pith Number

pith:2UWU4HWI

pith:2017:2UWU4HWI7JHJJB75OCFQ3XZQCZ

not attested not anchored not stored refs pending

Rank 1 character varieties of finitely presented groups

Caleb Ashley, Jean-Philippe Burelle, Sean Lawton

arxiv:1703.08241 v2 · 2017-03-23 · math.AG · 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{2UWU4HWI7JHJJB75OCFQ3XZQCZ}

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	2026-05-18T00:16:19.538565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d52d4e1ec8fa4e9487fd708b0ddf30166b136fbb152cac4578f9cf7e6168dec2

Aliases

arxiv: 1703.08241 · arxiv_version: 1703.08241v2 · doi: 10.48550/arxiv.1703.08241 · pith_short_12: 2UWU4HWI7JHJ · pith_short_16: 2UWU4HWI7JHJJB75 · pith_short_8: 2UWU4HWI

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/2UWU4HWI7JHJJB75OCFQ3XZQCZ \
  | 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: d52d4e1ec8fa4e9487fd708b0ddf30166b136fbb152cac4578f9cf7e6168dec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80a7e8bbe25e7a9720ff4ca4ce480f0973715c71e9d0f85c1933463a62535229",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-23T22:02:29Z",
    "title_canon_sha256": "52dc554ac6dcb0f1dc2cb1783d278134d82efa9c76d50dcb938d6a9b2320b4fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08241",
    "kind": "arxiv",
    "version": 2
  }
}