Pith Number

pith:72EHXXZO

pith:2007:72EHXXZOFTWDYQI436I7ZGSV72

not attested not anchored not stored refs pending

Relatively hyperbolic groups, rapid decay algebras, and a generalization of the Bass conjecture

B. Ramsey, C. Ogle, R. Ji

arxiv:0707.3658 v3 · 2007-07-25 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72EHXXZOFTWDYQI436I7ZGSV72}

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	2026-05-18T04:11:49.461727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe887bdf2e2cec3c411cdf91fc9a55fe826591b2e81752e6db1c969472ccadd2

Aliases

arxiv: 0707.3658 · arxiv_version: 0707.3658v3 · doi: 10.48550/arxiv.0707.3658 · pith_short_12: 72EHXXZOFTWD · pith_short_16: 72EHXXZOFTWDYQI4 · pith_short_8: 72EHXXZO

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/72EHXXZOFTWDYQI436I7ZGSV72 \
  | 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: fe887bdf2e2cec3c411cdf91fc9a55fe826591b2e81752e6db1c969472ccadd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "784e1c16ea0605bc1d40766eb30f5e7df579b61f932d90cc05b2a7572671d707",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2007-07-25T01:43:34Z",
    "title_canon_sha256": "aa36c3457061aac1ad04914731f98963644a1c165480cc8769abc098cc2bdee7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.3658",
    "kind": "arxiv",
    "version": 3
  }
}