Pith Number

pith:7CKLRS6N

pith:2010:7CKLRS6NJI4JTQPU2HG34SOMWE

not attested not anchored not stored refs pending

Amenable L2-theoretic methods and knot concordance

Jae Choon Cha

arxiv:1010.1058 v2 · 2010-10-06 · 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{7CKLRS6NJI4JTQPU2HG34SOMWE}

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	2026-05-18T04:18:53.242889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f894b8cbcd4a3899c1f4d1cdbe49ccb123211b64bf1461d2a7c2194dad3e0372

Aliases

arxiv: 1010.1058 · arxiv_version: 1010.1058v2 · doi: 10.48550/arxiv.1010.1058 · pith_short_12: 7CKLRS6NJI4J · pith_short_16: 7CKLRS6NJI4JTQPU · pith_short_8: 7CKLRS6N

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/7CKLRS6NJI4JTQPU2HG34SOMWE \
  | 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: f894b8cbcd4a3899c1f4d1cdbe49ccb123211b64bf1461d2a7c2194dad3e0372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99bc07a9cead4daea6ff98c087db9afd343dbfe30a386af4aa05d61160900d3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-10-06T04:31:13Z",
    "title_canon_sha256": "296bdc9d42f2bc3ef5df1ab924c446f16b39066efcf4d7ad375089f9f85bf102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1058",
    "kind": "arxiv",
    "version": 2
  }
}