Pith Number

pith:AD3DUWUX

pith:2015:AD3DUWUXEJNH62JUG24VF4LOPE

not attested not anchored not stored refs pending

Revisiting Poincar\'e's Theorem on presentations of discontinuous groups via fundamental polyhedra

\'Angel del R\'io, Ann Kiefer, Eric Jespers

arxiv:1504.07779 v1 · 2015-04-29 · 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{AD3DUWUXEJNH62JUG24VF4LOPE}

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	2026-05-18T02:17:32.242658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00f63a5a97225a7f693436b952f16e790106e85afa97b9bf4e5a9491b6c1306a

Aliases

arxiv: 1504.07779 · arxiv_version: 1504.07779v1 · doi: 10.48550/arxiv.1504.07779 · pith_short_12: AD3DUWUXEJNH · pith_short_16: AD3DUWUXEJNH62JU · pith_short_8: AD3DUWUX

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/AD3DUWUXEJNH62JUG24VF4LOPE \
  | 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: 00f63a5a97225a7f693436b952f16e790106e85afa97b9bf4e5a9491b6c1306a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ab0018b9523f4026b577ad23efc6114b310530f7c5482a7a89345301d1752cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-04-29T09:18:01Z",
    "title_canon_sha256": "881f42b752c3773cb7de5e2f57b0c5ffc72dfb6b0dc347e40e2a34fa96aac66a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07779",
    "kind": "arxiv",
    "version": 1
  }
}