Pith Number

pith:XEHR76CH

pith:2016:XEHR76CHVA2F76OCG76Z634NHU

not attested not anchored not stored refs pending

Kauffman type invariants for tied links

Francesca Aicardi, Jesus Juyumaya

arxiv:1607.04841 v6 · 2016-07-17 · math.GT · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XEHR76CHVA2F76OCG76Z634NHU}

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	2026-05-18T00:34:15.880914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b90f1ff847a8345ff9c237fd9f6f8d3d33e9daf8833c89fd56d3ea1620cce359

Aliases

arxiv: 1607.04841 · arxiv_version: 1607.04841v6 · doi: 10.48550/arxiv.1607.04841 · pith_short_12: XEHR76CHVA2F · pith_short_16: XEHR76CHVA2F76OC · pith_short_8: XEHR76CH

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/XEHR76CHVA2F76OCG76Z634NHU \
  | 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: b90f1ff847a8345ff9c237fd9f6f8d3d33e9daf8833c89fd56d3ea1620cce359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c4b168194d07cfe6521ce5d270ebbb52dd9d53260968f4decdae63cd9498641",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-07-17T09:24:44Z",
    "title_canon_sha256": "563cadf678767b1431c5a65e4c218db2f92d5558af4ebf465c907579c7edc8f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04841",
    "kind": "arxiv",
    "version": 6
  }
}