Pith Number

pith:QYMJSRPJ

pith:2014:QYMJSRPJDNNE4AAO52Q5PRNEGH

not attested not anchored not stored refs pending

The L^2-Alexander torsion of 3-manifolds

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

arxiv:1410.6918 v3 · 2014-10-25 · 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{QYMJSRPJDNNE4AAO52Q5PRNEGH}

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	2026-05-18T01:26:31.818380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86189945e91b5a4e000eeea1d7c5a431c3ef6e3ad5217262d43f0b1338552387

Aliases

arxiv: 1410.6918 · arxiv_version: 1410.6918v3 · doi: 10.48550/arxiv.1410.6918 · pith_short_12: QYMJSRPJDNNE · pith_short_16: QYMJSRPJDNNE4AAO · pith_short_8: QYMJSRPJ

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/QYMJSRPJDNNE4AAO52Q5PRNEGH \
  | 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: 86189945e91b5a4e000eeea1d7c5a431c3ef6e3ad5217262d43f0b1338552387

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fe47a6564260867c3a6f9b7f5f0482f9bb8e1d9ab5a202bccc5cadd7ed19612",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-10-25T12:45:07Z",
    "title_canon_sha256": "568ae2d2a9c50a29b4d0553518d412e72ef6333189775362a3b6fdcced52f77a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6918",
    "kind": "arxiv",
    "version": 3
  }
}