Pith Number

pith:ROKPQKTC

pith:2017:ROKPQKTCOHPI6YABIJ37T2WTJ3

not attested not anchored not stored refs pending

An involutive upsilon knot invariant

Charles Livingston, Matthew Hogancamp

arxiv:1710.08360 v1 · 2017-10-23 · 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{ROKPQKTCOHPI6YABIJ37T2WTJ3}

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	2026-05-18T00:32:16.610272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b94f82a6271de8f60014277f9ead34ec584ab249d4f1a575206437f2b9b20df

Aliases

arxiv: 1710.08360 · arxiv_version: 1710.08360v1 · doi: 10.48550/arxiv.1710.08360 · pith_short_12: ROKPQKTCOHPI · pith_short_16: ROKPQKTCOHPI6YAB · pith_short_8: ROKPQKTC

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/ROKPQKTCOHPI6YABIJ37T2WTJ3 \
  | 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: 8b94f82a6271de8f60014277f9ead34ec584ab249d4f1a575206437f2b9b20df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab016597095cec2649c7702e1c9240aafaf12c45234d076e72cb843d688b1687",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-10-23T16:13:16Z",
    "title_canon_sha256": "0b062e17e7783647bdf62616c999cb98765485c1d8e37d0c766ea26bd8198257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08360",
    "kind": "arxiv",
    "version": 1
  }
}