Pith Number

pith:DZ2KH7AT

pith:2013:DZ2KH7ATEN2UN4NKZP5ESLT5FT

not attested not anchored not stored refs pending

The Farrell-Jones conjecture for fundamental groups of graphs of abelian groups

Giovanni Gandini, Henrik Rueping, Sebastian Meinert

arxiv:1309.6909 v2 · 2013-09-26 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZ2KH7ATEN2UN4NKZP5ESLT5FT}

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	2026-05-18T02:54:39.475351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e74a3fc13237546f1aacbfa492e7d2cc41ee9bcf6e81523f8e385a50726132a

Aliases

arxiv: 1309.6909 · arxiv_version: 1309.6909v2 · doi: 10.48550/arxiv.1309.6909 · pith_short_12: DZ2KH7ATEN2U · pith_short_16: DZ2KH7ATEN2UN4NK · pith_short_8: DZ2KH7AT

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/DZ2KH7ATEN2UN4NKZP5ESLT5FT \
  | 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: 1e74a3fc13237546f1aacbfa492e7d2cc41ee9bcf6e81523f8e385a50726132a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de6f5f3802a671a35a72bae18f8297f0061e25baf0f8f7867dfcf3f6f7f493f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-26T14:16:41Z",
    "title_canon_sha256": "94f7106a5a2ae85d10e8c586282b6083efa35f5b5468be2a1e3ffbf70fe6fa5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6909",
    "kind": "arxiv",
    "version": 2
  }
}