Pith Number

pith:N2B2SD7K

pith:2012:N2B2SD7KCNNDSOW3IUU53ARLRO

not attested not anchored not stored refs pending

Topologically slice knots of smooth concordance order two

Charles Livingston, Matthew Hedden, Se-Goo Kim

arxiv:1212.6628 v2 · 2012-12-29 · 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{N2B2SD7KCNNDSOW3IUU53ARLRO}

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	2026-05-18T01:04:41.946824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e83a90fea135a393adb4529dd822b8bb9106abc7cd6bdcec398895adcbd9262

Aliases

arxiv: 1212.6628 · arxiv_version: 1212.6628v2 · doi: 10.48550/arxiv.1212.6628 · pith_short_12: N2B2SD7KCNND · pith_short_16: N2B2SD7KCNNDSOW3 · pith_short_8: N2B2SD7K

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/N2B2SD7KCNNDSOW3IUU53ARLRO \
  | 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: 6e83a90fea135a393adb4529dd822b8bb9106abc7cd6bdcec398895adcbd9262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ed400070d47b296c0a92655f7e1e7b26bc9746e5dfd7a8d25e508f773438206",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-12-29T13:44:20Z",
    "title_canon_sha256": "be43e0a692babf80c414f2da8dc1e9304e6f2898ad3883e24172dd38cc5ccaf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6628",
    "kind": "arxiv",
    "version": 2
  }
}