Pith Number

pith:XA2FS6L2

pith:2018:XA2FS6L2CHFBF427BGAEVN6K5N

not attested not anchored not stored refs pending

A Reidemeister type theorem for petal diagrams of knots

Cory Glover, Leslie Colton, Mark Hughes, Samantha Sandberg

arxiv:1812.08930 v1 · 2018-12-21 · 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{XA2FS6L2CHFBF427BGAEVN6K5N}

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	2026-05-17T23:57:45.876278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b83459797a11ca12f35f09804ab7caeb46e0344b8e430071cbde2f3bad386a53

Aliases

arxiv: 1812.08930 · arxiv_version: 1812.08930v1 · doi: 10.48550/arxiv.1812.08930 · pith_short_12: XA2FS6L2CHFB · pith_short_16: XA2FS6L2CHFBF427 · pith_short_8: XA2FS6L2

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/XA2FS6L2CHFBF427BGAEVN6K5N \
  | 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: b83459797a11ca12f35f09804ab7caeb46e0344b8e430071cbde2f3bad386a53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2de3343385841ec63fbdb3891d4ee757329991a1286e0c445efb58da903e019",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-12-21T03:42:46Z",
    "title_canon_sha256": "a5f41eb7e1cffb9f0a99277d5c7d8face441bfb7bf3367bb505a6cd0de83cb67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08930",
    "kind": "arxiv",
    "version": 1
  }
}