Pith Number

pith:BHTRYWAX

pith:2013:BHTRYWAXOB4RCYFNN4I6JPNJEQ

not attested not anchored not stored refs pending

$L^2$-Alexander invariant for knots

Christian Wegner, J\'er\^ome Dubois

arxiv:1303.6456 v1 · 2013-03-26 · 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{BHTRYWAXOB4RCYFNN4I6JPNJEQ}

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	2026-05-18T03:29:49.405822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09e71c581770791160ad6f11e4bda9240e119edf2a4cb627f08f1cdee7901b6e

Aliases

arxiv: 1303.6456 · arxiv_version: 1303.6456v1 · doi: 10.48550/arxiv.1303.6456 · pith_short_12: BHTRYWAXOB4R · pith_short_16: BHTRYWAXOB4RCYFN · pith_short_8: BHTRYWAX

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/BHTRYWAXOB4RCYFNN4I6JPNJEQ \
  | 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: 09e71c581770791160ad6f11e4bda9240e119edf2a4cb627f08f1cdee7901b6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d03d7607a12e462a54e9dc9bfaa6f53e9bf8a39373882324d051b4184fba795",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-26T12:36:26Z",
    "title_canon_sha256": "376b197a49d9ece6b53e14dcb5d86a480c8625aaadda7b657d4f29242d16eb77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6456",
    "kind": "arxiv",
    "version": 1
  }
}