Pith Number

pith:QY4T66GP

pith:2001:QY4T66GPX4FOS4FOPTT6HOT2PL

not attested not anchored not stored refs pending

$C_k$-moves on spatial theta-curves and Vassiliev invariants

Akira Yasuhara

arxiv:math/0104177 v1 · 2001-04-18 · 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{QY4T66GPX4FOS4FOPTT6HOT2PL}

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	2026-07-04T14:35:17.949823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86393f78cfbf0ae970ae7ce7e3ba7a7ade7c3e738a1d1fe3ed6305d3f693f5cc

Aliases

arxiv: math/0104177 · arxiv_version: math/0104177v1 · doi: 10.48550/arxiv.math/0104177 · pith_short_12: QY4T66GPX4FO · pith_short_16: QY4T66GPX4FOS4FO · pith_short_8: QY4T66GP

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/QY4T66GPX4FOS4FOPTT6HOT2PL \
  | 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: 86393f78cfbf0ae970ae7ce7e3ba7a7ade7c3e738a1d1fe3ed6305d3f693f5cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "804672caca7331a473901717b372cd32c4f2a8e708df2e76d4c5c209383701dd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-04-18T04:15:10Z",
    "title_canon_sha256": "e41ab03ba659a036141ab8b4ae52b674ffba1f7058cf12a71d20231ba4f7e4ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0104177",
    "kind": "arxiv",
    "version": 1
  }
}