Pith Number

pith:36RN6YUK

pith:1998:36RN6YUKFFKWQCGEW4EPOELQWM

not attested not anchored not stored refs pending

Simplicite de groupes d'automorphismes d'espaces a courbure negative

Frederic Haglund, Frederic Paulin

arxiv:math/9812167 v1 · 1998-12-04 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36RN6YUKFFKWQCGEW4EPOELQWM}

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	2026-05-18T01:05:33.431822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfa2df628a29556808c4b708f71170b324ea1e25b768e771cd499442a36537a3

Aliases

arxiv: math/9812167 · arxiv_version: math/9812167v1 · doi: 10.48550/arxiv.math/9812167 · pith_short_12: 36RN6YUKFFKW · pith_short_16: 36RN6YUKFFKWQCGE · pith_short_8: 36RN6YUK

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/36RN6YUKFFKWQCGEW4EPOELQWM \
  | 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: dfa2df628a29556808c4b708f71170b324ea1e25b768e771cd499442a36537a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01f6589f9867aeeb528a593840941ea72540ed87534d56e7f68e4b1d4b4dba07",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "1998-12-04T00:00:00Z",
    "title_canon_sha256": "20c6925021edd5dfb6404746cccf4386ae4aeef5702824242a98f8f0b5ab5f6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9812167",
    "kind": "arxiv",
    "version": 1
  }
}