Pith Number

pith:APR6WZ7E

pith:2016:APR6WZ7EY6RVQ6EM2MXSLFLROA

not attested not anchored not stored refs pending

Alexander invariants of ribbon tangles and planar algebras

Celeste Damiani, Vincent Florens

arxiv:1602.06191 v1 · 2016-02-19 · 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{APR6WZ7EY6RVQ6EM2MXSLFLROA}

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	2026-05-18T01:20:18.426304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03e3eb67e4c7a358788cd32f2595717022b3d831c98e1de04a7d97bde3026422

Aliases

arxiv: 1602.06191 · arxiv_version: 1602.06191v1 · doi: 10.48550/arxiv.1602.06191 · pith_short_12: APR6WZ7EY6RV · pith_short_16: APR6WZ7EY6RVQ6EM · pith_short_8: APR6WZ7E

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/APR6WZ7EY6RVQ6EM2MXSLFLROA \
  | 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: 03e3eb67e4c7a358788cd32f2595717022b3d831c98e1de04a7d97bde3026422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e6fb80d0cb1c8e3fbdb01079a2034a56c5233bf6390f8631b2940a8304c90dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-02-19T15:49:09Z",
    "title_canon_sha256": "4941e6f203449f07f9be70fd12614a779f8b92644cdd71c6942a7818aca75eb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06191",
    "kind": "arxiv",
    "version": 1
  }
}