Pith Number

pith:XVYNRW6S

pith:2006:XVYNRW6SWZGQPCJJIYI445K733

not attested not anchored not stored refs pending

Hyperfinite knots via the CJKLS invariant in the thermodynamic limit

Pedro Lopes

arxiv:math/0607195 v2 · 2006-07-07 · 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{XVYNRW6SWZGQPCJJIYI445K733}

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	2026-05-18T01:38:23.950570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd70d8dbd2b64d0789294611ce755fded050242b8f3f9b5ee5f5fe1c82e46ab3

Aliases

arxiv: math/0607195 · arxiv_version: math/0607195v2 · doi: 10.48550/arxiv.math/0607195 · pith_short_12: XVYNRW6SWZGQ · pith_short_16: XVYNRW6SWZGQPCJJ · pith_short_8: XVYNRW6S

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/XVYNRW6SWZGQPCJJIYI445K733 \
  | 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: bd70d8dbd2b64d0789294611ce755fded050242b8f3f9b5ee5f5fe1c82e46ab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1017696bbc0e2606296205a166c6a8e500f5164c5f87b3f4a14bddefe0e58802",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-07-07T13:52:32Z",
    "title_canon_sha256": "700b387ef102d7b59aedef233b576cd0ce6b106b918a72dc37e5c257ce5771e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607195",
    "kind": "arxiv",
    "version": 2
  }
}