Pith Number

pith:LJQIEIZE

pith:2026:LJQIEIZEEXIJG7LH7NDIPFOIHX

not attested not anchored not stored refs pending

A Persistent Homology Signature of Knotting

Agnese Barbensi, Aurelie Jodelle Kemme, Colleen Farrelly, Collins A. Agyingi

arxiv:2606.17366 v1 · 2026-06-15 · math.AT · math.GT · q-bio.BM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJQIEIZEEXIJG7LH7NDIPFOIHX}

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	2026-06-19T16:10:10.319071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a6082232425d0937d67fb468795c83dd659aa3ad2ef4a02e16fea8c85723312

Aliases

arxiv: 2606.17366 · arxiv_version: 2606.17366v1 · doi: 10.48550/arxiv.2606.17366 · pith_short_12: LJQIEIZEEXIJ · pith_short_16: LJQIEIZEEXIJG7LH · pith_short_8: LJQIEIZE

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/LJQIEIZEEXIJG7LH7NDIPFOIHX \
  | 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: 5a6082232425d0937d67fb468795c83dd659aa3ad2ef4a02e16fea8c85723312

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62d7fe93e6eda78dad5c006930a8961a30bbb022c86dd4f6887f5fd7f6a55579",
    "cross_cats_sorted": [
      "math.GT",
      "q-bio.BM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-15T23:51:51Z",
    "title_canon_sha256": "c4343f2a17d4e4986c19b8c7b3eb3173bd9e7c2475d560b4098c21705f98a5da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17366",
    "kind": "arxiv",
    "version": 1
  }
}