Pith Number

pith:A3QHX5E7

pith:2016:A3QHX5E7EPXREIJKHIQLIFGIWR

not attested not anchored not stored refs pending

Some conditionally hard problems on links and 3-manifolds

Marc Lackenby

arxiv:1602.08427 v3 · 2016-02-26 · 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{A3QHX5E7EPXREIJKHIQLIFGIWR}

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	2026-05-18T00:45:30.578680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06e07bf49f23ef12212a3a20b414c8b471df52832939a3dce4d165d98ae06fe1

Aliases

arxiv: 1602.08427 · arxiv_version: 1602.08427v3 · doi: 10.48550/arxiv.1602.08427 · pith_short_12: A3QHX5E7EPXR · pith_short_16: A3QHX5E7EPXREIJK · pith_short_8: A3QHX5E7

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/A3QHX5E7EPXREIJKHIQLIFGIWR \
  | 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: 06e07bf49f23ef12212a3a20b414c8b471df52832939a3dce4d165d98ae06fe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bb97b88706c24fef30d97578a48c7313bf528f274359841d6ccd215dfaa6045",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-02-26T18:34:17Z",
    "title_canon_sha256": "d55059b6480619eb14b7f03323a7641678e61f0c3343157d6ef5f7aead7db6bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08427",
    "kind": "arxiv",
    "version": 3
  }
}