Pith Number

pith:JRA5ZEZI

pith:2018:JRA5ZEZI7ZHKZ64OFWHK5YCS45

not attested not anchored not stored refs pending

Geometric structures and representations of discrete groups

Fanny Kassel

arxiv:1802.07221 v1 · 2018-02-20 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRA5ZEZI7ZHKZ64OFWHK5YCS45}

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	2026-05-18T00:22:53.289980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c41dc9328fe4eacfb8e2d8eaee052e76ebce1f6a42483136e59c2ad9ad8ddca

Aliases

arxiv: 1802.07221 · arxiv_version: 1802.07221v1 · doi: 10.48550/arxiv.1802.07221 · pith_short_12: JRA5ZEZI7ZHK · pith_short_16: JRA5ZEZI7ZHKZ64O · pith_short_8: JRA5ZEZI

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/JRA5ZEZI7ZHKZ64OFWHK5YCS45 \
  | 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: 4c41dc9328fe4eacfb8e2d8eaee052e76ebce1f6a42483136e59c2ad9ad8ddca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "067418c294dc0aca5150d0f691dc20ea544663ae73fa578855a40a157735a436",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-02-20T17:56:02Z",
    "title_canon_sha256": "c61be844a5fd6281fada580e642d492661510bb49e3dad997adca884d4f5bdbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07221",
    "kind": "arxiv",
    "version": 1
  }
}