Pith Number

pith:ODSSUWR4

pith:2014:ODSSUWR477CHM72OWLU7SFK3TT

not attested not anchored not stored refs pending

The $L^2$-Alexander torsion is symmetric

J\'er\^ome Dubois, Stefan Friedl, Wolfgang L\"uck

arxiv:1411.2292 v1 · 2014-11-09 · 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{ODSSUWR477CHM72OWLU7SFK3TT}

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	2026-05-18T01:21:55.856697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70e52a5a3cffc4767f4eb2e9f9155b9cc6074a63df6da83a49df45148fb26067

Aliases

arxiv: 1411.2292 · arxiv_version: 1411.2292v1 · doi: 10.48550/arxiv.1411.2292 · pith_short_12: ODSSUWR477CH · pith_short_16: ODSSUWR477CHM72O · pith_short_8: ODSSUWR4

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/ODSSUWR477CHM72OWLU7SFK3TT \
  | 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: 70e52a5a3cffc4767f4eb2e9f9155b9cc6074a63df6da83a49df45148fb26067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c364689a44d3025d99198b115ea66fc49b47fad209ccfc7be83a4af7b855668",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-11-09T22:22:18Z",
    "title_canon_sha256": "265540ef8ef6baab9d4c442adf245b7c78d2473fc3d6a6e9dc7df6651f7a58f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2292",
    "kind": "arxiv",
    "version": 1
  }
}