Pith Number

pith:7SQL7ECX

pith:2016:7SQL7ECX7EXYMC4AUWISYWFM5T

not attested not anchored not stored refs pending

Secondary Upsilon invariants of knots

Charles Livingston, Se-Goo Kim

arxiv:1610.05343 v1 · 2016-10-17 · 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{7SQL7ECX7EXYMC4AUWISYWFM5T}

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	2026-05-17T23:54:03.390429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fca0bf9057f92f860b80a5912c58acece2a6733b8d938a80cb9d3bfbe511b678

Aliases

arxiv: 1610.05343 · arxiv_version: 1610.05343v1 · doi: 10.48550/arxiv.1610.05343 · pith_short_12: 7SQL7ECX7EXY · pith_short_16: 7SQL7ECX7EXYMC4A · pith_short_8: 7SQL7ECX

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/7SQL7ECX7EXYMC4AUWISYWFM5T \
  | 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: fca0bf9057f92f860b80a5912c58acece2a6733b8d938a80cb9d3bfbe511b678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7e8802957772630c5d2bff77ee84cd79b77da4d1c2855a10eb93cd56d0b2864",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-17T20:30:46Z",
    "title_canon_sha256": "88ac5af91f92e5d78fbca9a8b33207c0267ddfa483be01e76b4bb99ebeba8d39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05343",
    "kind": "arxiv",
    "version": 1
  }
}