Pith Number

pith:3VUSM63O

pith:2018:3VUSM63ODL4H7DIKCSDHOVZRLT

not attested not anchored not stored refs pending

Singular link concordance implies link homotopy in codimension $\ge 3$

Sergey A. Melikhov

arxiv:1810.08299 v1 · 2018-10-18 · 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{3VUSM63ODL4H7DIKCSDHOVZRLT}

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	2026-05-18T00:02:48.571018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd69267b6e1af87f8d0a14867757315cc1a9cbc76e6b16128d54ea2c9e5c1b1d

Aliases

arxiv: 1810.08299 · arxiv_version: 1810.08299v1 · doi: 10.48550/arxiv.1810.08299 · pith_short_12: 3VUSM63ODL4H · pith_short_16: 3VUSM63ODL4H7DIK · pith_short_8: 3VUSM63O

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/3VUSM63ODL4H7DIKCSDHOVZRLT \
  | 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: dd69267b6e1af87f8d0a14867757315cc1a9cbc76e6b16128d54ea2c9e5c1b1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c56ed20112bc30f89f18cac89f9be4fc0a78292dc95f5029a54ce1f662bc30c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-10-18T23:06:26Z",
    "title_canon_sha256": "89783ddf86c7765ff35b8124559c859173462870857864224730a071707730c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08299",
    "kind": "arxiv",
    "version": 1
  }
}