Pith Number

pith:3U74O2CQ

pith:2003:3U74O2CQFMQI5ORMVYUOIYC3AM

not attested not anchored not stored refs pending

Ideal bicombings for hyperbolic groups and applications

I. Mineyev, N. Monod, Y. Shalom

arxiv:math/0304278 v2 · 2003-04-19 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3U74O2CQFMQI5ORMVYUOIYC3AM}

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	2026-05-18T03:51:26.027094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd3fc768502b208eba2cae28e4605b030fc43cada8b8be19480ce853c0fa4c60

Aliases

arxiv: math/0304278 · arxiv_version: math/0304278v2 · doi: 10.48550/arxiv.math/0304278 · pith_short_12: 3U74O2CQFMQI · pith_short_16: 3U74O2CQFMQI5ORM · pith_short_8: 3U74O2CQ

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/3U74O2CQFMQI5ORMVYUOIYC3AM \
  | 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: dd3fc768502b208eba2cae28e4605b030fc43cada8b8be19480ce853c0fa4c60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5f8acc87f6361fdc590ab52447e7c6301c945e55323881fb30208cdd03dddd4",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2003-04-19T20:32:22Z",
    "title_canon_sha256": "831bc3d9a3ad7874bbeb178a3424c60c0380259bf9113fc752e3eb4ebf05a4a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304278",
    "kind": "arxiv",
    "version": 2
  }
}