Pith Number

pith:M7ACJ75R

pith:2007:M7ACJ75RE64A7OZPX527TGVUVU

not attested not anchored not stored refs pending

Complex hyperbolic hyperplane complements

Igor Belegradek

arxiv:0711.5001 v2 · 2007-11-30 · math.GR · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7ACJ75RE64A7OZPX527TGVUVU}

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	2026-05-18T04:41:44.294184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67c024ffb127b80fbb2fbf75f99ab4ad294978121b8fb11fc52ab4c606e33839

Aliases

arxiv: 0711.5001 · arxiv_version: 0711.5001v2 · doi: 10.48550/arxiv.0711.5001 · pith_short_12: M7ACJ75RE64A · pith_short_16: M7ACJ75RE64A7OZP · pith_short_8: M7ACJ75R

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/M7ACJ75RE64A7OZPX527TGVUVU \
  | 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: 67c024ffb127b80fbb2fbf75f99ab4ad294978121b8fb11fc52ab4c606e33839

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c5eeb5537a340761c250f392398a1a26f5439e1b1bff91efef0aad81814cf2f",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2007-11-30T18:35:04Z",
    "title_canon_sha256": "178f7426246614089d65ffddfaf1c999bc075b9b6def5e065a006e48aaab7c18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.5001",
    "kind": "arxiv",
    "version": 2
  }
}