Pith Number

pith:G7LRJTNT

pith:2026:G7LRJTNT2EE3PMDXCLKQBCAEMV

not attested not anchored not stored refs pending

Weights of essential surfaces in 2-bridge knot complements

Cynthia L. Curtis, Kate O'Connor, Kendra Ebke

arxiv:2605.21639 v1 · 2026-05-20 · 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{G7LRJTNT2EE3PMDXCLKQBCAEMV}

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	2026-05-22T01:03:26.458125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37d714cdb3d109b7b07712d5008804654ea7cce061703183545310e1e46396b8

Aliases

arxiv: 2605.21639 · arxiv_version: 2605.21639v1 · doi: 10.48550/arxiv.2605.21639 · pith_short_12: G7LRJTNT2EE3 · pith_short_16: G7LRJTNT2EE3PMDX · pith_short_8: G7LRJTNT

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/G7LRJTNT2EE3PMDXCLKQBCAEMV \
  | 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: 37d714cdb3d109b7b07712d5008804654ea7cce061703183545310e1e46396b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51e1ebcb45b99403960e1bd876245e1c3811540af38e8b995f68b82a2566fe3b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-20T18:51:44Z",
    "title_canon_sha256": "1765be7e2c5f42f0dbb0e3e33f28af35094323eb893f34d63df51a383ae330af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21639",
    "kind": "arxiv",
    "version": 1
  }
}