Pith Number

pith:FS7CYU5W

pith:2010:FS7CYU5W3CHRME2C4EMB6OF2RF

not attested not anchored not stored refs pending

On volumes of arithmetic quotients of PO(n,1), n odd

Mikhail Belolipetsky, Vincent Emery

arxiv:1001.4670 v2 · 2010-01-26 · math.GR · math.GT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FS7CYU5W3CHRME2C4EMB6OF2RF}

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	2026-05-18T02:58:02.456305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cbe2c53b6d88f161342e1181f38ba8979a62528b4dafd64566e6e459a884e43

Aliases

arxiv: 1001.4670 · arxiv_version: 1001.4670v2 · doi: 10.48550/arxiv.1001.4670 · pith_short_12: FS7CYU5W3CHR · pith_short_16: FS7CYU5W3CHRME2C · pith_short_8: FS7CYU5W

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/FS7CYU5W3CHRME2C4EMB6OF2RF \
  | 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: 2cbe2c53b6d88f161342e1181f38ba8979a62528b4dafd64566e6e459a884e43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b05069ac975c01b1f902405ceca56d4379217abc6d1c6e38f8b94431f7b1f62",
    "cross_cats_sorted": [
      "math.GT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-01-26T15:21:52Z",
    "title_canon_sha256": "9b140bd87ba6fa13647e7c2a31e5b44f5bde6adc1f6dff6e91599046c7413546"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4670",
    "kind": "arxiv",
    "version": 2
  }
}