Pith Number

pith:SF6IMKY7

pith:2007:SF6IMKY7Z3TGQW5SQFPLOPF3JA

not attested not anchored not stored refs pending

On asymptotic dimension of amalgamated products and right-angled Coxeter groups

Alexander Dranishnikov

arxiv:0705.2546 v3 · 2007-05-17 · 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{SF6IMKY7Z3TGQW5SQFPLOPF3JA}

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	2026-05-18T02:41:52.006599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

917c862b1fcee6685bb2815eb73cbb4836f36ba3098bf1ad45871b5c92665101

Aliases

arxiv: 0705.2546 · arxiv_version: 0705.2546v3 · doi: 10.48550/arxiv.0705.2546 · pith_short_12: SF6IMKY7Z3TG · pith_short_16: SF6IMKY7Z3TGQW5S · pith_short_8: SF6IMKY7

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/SF6IMKY7Z3TGQW5SQFPLOPF3JA \
  | 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: 917c862b1fcee6685bb2815eb73cbb4836f36ba3098bf1ad45871b5c92665101

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae94682c448bbd54c6b99a7d867796d995e51c07bfca251ba420ffda3fac4e61",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-05-17T15:15:25Z",
    "title_canon_sha256": "852ac4aeca1f222ce463d51d2a8fecfed189dbd2c2d9be57e1bd078d2054fe92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2546",
    "kind": "arxiv",
    "version": 3
  }
}