Pith Number

pith:SHNISW3A

pith:2012:SHNISW3AVKRNJRUKRSSI6HQFDZ

not attested not anchored not stored refs pending

The Farrell-Jones Conjecture for Graph Products

Giovanni Gandini, Henrik Rueping

arxiv:1211.6378 v3 · 2012-11-27 · math.GR · 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{SHNISW3AVKRNJRUKRSSI6HQFDZ}

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	2026-05-18T02:41:42.735816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91da895b60aaa2d4c68a8ca48f1e051e682f02df2b19bf83a22b55b1d6430aa3

Aliases

arxiv: 1211.6378 · arxiv_version: 1211.6378v3 · doi: 10.48550/arxiv.1211.6378 · pith_short_12: SHNISW3AVKRN · pith_short_16: SHNISW3AVKRNJRUK · pith_short_8: SHNISW3A

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/SHNISW3AVKRNJRUKRSSI6HQFDZ \
  | 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: 91da895b60aaa2d4c68a8ca48f1e051e682f02df2b19bf83a22b55b1d6430aa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d717117f9c7d3dfbe60ad8742a54027982783ef542467a5ca1f1c36a17f44ac6",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-11-27T18:18:11Z",
    "title_canon_sha256": "c121f2a3ff7258ee6648fe089c3f1a2dd66fcae678ec530bf763a8aaa84cda87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6378",
    "kind": "arxiv",
    "version": 3
  }
}