Pith Number

pith:745EHRWX

pith:2013:745EHRWXTHPTD2OOAGVTHALXUS

not attested not anchored not stored refs pending

On volume-preserving vector fields and finite type invariants of knots

I. Volic, R. Komendarczyk

arxiv:1309.3361 v2 · 2013-09-13 · math.GT · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{745EHRWXTHPTD2OOAGVTHALXUS}

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	2026-05-17T23:53:15.117704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff3a43c6d799df31e9ce01ab338177a496aad91713f502c8f6b4bf559bb5c0f7

Aliases

arxiv: 1309.3361 · arxiv_version: 1309.3361v2 · doi: 10.48550/arxiv.1309.3361 · pith_short_12: 745EHRWXTHPT · pith_short_16: 745EHRWXTHPTD2OO · pith_short_8: 745EHRWX

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/745EHRWXTHPTD2OOAGVTHALXUS \
  | 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: ff3a43c6d799df31e9ce01ab338177a496aad91713f502c8f6b4bf559bb5c0f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "760cc054e919f451a1b3c30bb6f206e1d69b55f3118721db0a8975baa0373f82",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-13T04:44:01Z",
    "title_canon_sha256": "0db244209bf86b0a3d20f962b02f07c396f0556beed4480f9da441895d23d041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3361",
    "kind": "arxiv",
    "version": 2
  }
}