Pith Number

pith:EKOOVVKO

pith:2012:EKOOVVKOCQIM76YA5EOVOWDZRI

not attested not anchored not stored refs pending

Symmetric Criticality for Tight Knots

Jason Cantarella, Jennifer Ellis, Joseph H.G. Fu, Matt Mastin

arxiv:1208.3879 v3 · 2012-08-19 · math.DG · 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{EKOOVVKOCQIM76YA5EOVOWDZRI}

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	2026-05-18T03:38:04.849979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

229cead54e1410cffb00e91d5758798a30d4d3ef5dabe864de734858eb781817

Aliases

arxiv: 1208.3879 · arxiv_version: 1208.3879v3 · doi: 10.48550/arxiv.1208.3879 · pith_short_12: EKOOVVKOCQIM · pith_short_16: EKOOVVKOCQIM76YA · pith_short_8: EKOOVVKO

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/EKOOVVKOCQIM76YA5EOVOWDZRI \
  | 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: 229cead54e1410cffb00e91d5758798a30d4d3ef5dabe864de734858eb781817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10afb8621e6632d41012257ff7ccb30435e8664a7df637fd9e8003fa0149917f",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-08-19T19:06:42Z",
    "title_canon_sha256": "a8a82d6c9dc4a916c625afe29ecc49be6906fbd30ecf3a9543b3b87381589d47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3879",
    "kind": "arxiv",
    "version": 3
  }
}