Pith Number

pith:VWMXKFND

pith:2014:VWMXKFNDIQLY5UUALPUL6UKJX2

not attested not anchored not stored refs pending

Revisiting Farrell's nonfiniteness of Nil

Jean-Fran\c{c}ois Lafont, Kun Wang, Stratos Prassidis

arxiv:1403.6981 v3 · 2014-03-27 · math.KT · 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{VWMXKFNDIQLY5UUALPUL6UKJX2}

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	2026-05-18T01:22:24.170916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad997515a344178ed2805be8bf5149be859032622c0754fc8ac12bdc25847258

Aliases

arxiv: 1403.6981 · arxiv_version: 1403.6981v3 · doi: 10.48550/arxiv.1403.6981 · pith_short_12: VWMXKFNDIQLY · pith_short_16: VWMXKFNDIQLY5UUA · pith_short_8: VWMXKFND

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/VWMXKFNDIQLY5UUALPUL6UKJX2 \
  | 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: ad997515a344178ed2805be8bf5149be859032622c0754fc8ac12bdc25847258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cbcec754c1b847f3d1665b67ed5427c125ec65eae9524434cc2a11ec4bebc7b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-03-27T11:20:12Z",
    "title_canon_sha256": "a27e3e0bed3b61999ce0b876dbb44619e1fd1c078fe86172f6809e621c855261"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6981",
    "kind": "arxiv",
    "version": 3
  }
}