Pith Number

pith:FNC7RNBE

pith:2025:FNC7RNBEG2HQ2EZXBWUQOWDO6O

not attested not anchored not stored refs pending

Survey on the Farrell-Jones Conjecture

Wolfgang Lueck

arxiv:2507.11337 v1 · 2025-07-15 · math.KT · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNC7RNBEG2HQ2EZXBWUQOWDO6O}

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.

Cited by

1 paper in Pith

Some remarks on $h$-cobordisms between smooth 4-manifolds

Receipt and verification

First computed	2026-07-05T11:37:37.301697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b45f8b424368f0d13370da907586ef3bf5701451748d0303eb271ebcdc6b8ec

Aliases

arxiv: 2507.11337 · arxiv_version: 2507.11337v1 · doi: 10.48550/arxiv.2507.11337 · pith_short_12: FNC7RNBEG2HQ · pith_short_16: FNC7RNBEG2HQ2EZX · pith_short_8: FNC7RNBE

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/FNC7RNBEG2HQ2EZXBWUQOWDO6O \
  | 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: 2b45f8b424368f0d13370da907586ef3bf5701451748d0303eb271ebcdc6b8ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1866fc00469e8fd139287f998c3a3947897b00e6317ff8eebe5d9c920f8778d1",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2025-07-15T14:09:24Z",
    "title_canon_sha256": "108af2b3ae7b8dbd0325309a3ae08f4ae9b136edf07eadb7b9effff01e5d4a8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11337",
    "kind": "arxiv",
    "version": 1
  }
}