Pith Number

pith:HQ3YLOR2

pith:2017:HQ3YLOR2ZUA3NRBYM3CEUC4U4E

not attested not anchored not stored refs pending

On the Stein framing number of a knot

Faramarz Vafaee, Lisa Piccirillo, Thomas E. Mark

arxiv:1710.08346 v1 · 2017-10-23 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQ3YLOR2ZUA3NRBYM3CEUC4U4E}

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	2026-05-18T00:32:16.651164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c3785ba3acd01b6c43866c44a0b94e12d9a5eee8009f6f30dd2c70b561a9bcb

Aliases

arxiv: 1710.08346 · arxiv_version: 1710.08346v1 · doi: 10.48550/arxiv.1710.08346 · pith_short_12: HQ3YLOR2ZUA3 · pith_short_16: HQ3YLOR2ZUA3NRBY · pith_short_8: HQ3YLOR2

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/HQ3YLOR2ZUA3NRBYM3CEUC4U4E \
  | 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: 3c3785ba3acd01b6c43866c44a0b94e12d9a5eee8009f6f30dd2c70b561a9bcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb672ffa748cb8682a7a2c0a412aa22dca1f45c7275a84ba3c96ce3222544374",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-10-23T15:48:33Z",
    "title_canon_sha256": "5835b59616c178d0a6a553a666dfd917860178bf2ff1c9cdf2abcc8f7c1f1164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08346",
    "kind": "arxiv",
    "version": 1
  }
}