Pith Number

pith:6COOTNL2

pith:2016:6COOTNL2JDJ2Y2PYXHX7NX45PM

not attested not anchored not stored refs pending

Satellites and concordance of knots in 3-manifolds

Mark Powell, Matthias Nagel, Patrick Orson, Stefan Friedl

arxiv:1611.09114 v2 · 2016-11-28 · 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{6COOTNL2JDJ2Y2PYXHX7NX45PM}

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	2026-05-18T00:42:07.409258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f09ce9b57a48d3ac69f8b9eff6df9d7b3b0f5001a802468ba4e8c242f550b719

Aliases

arxiv: 1611.09114 · arxiv_version: 1611.09114v2 · doi: 10.48550/arxiv.1611.09114 · pith_short_12: 6COOTNL2JDJ2 · pith_short_16: 6COOTNL2JDJ2Y2PY · pith_short_8: 6COOTNL2

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/6COOTNL2JDJ2Y2PYXHX7NX45PM \
  | 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: f09ce9b57a48d3ac69f8b9eff6df9d7b3b0f5001a802468ba4e8c242f550b719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ae2130aad3c52a6e851b36cacacc95829f5e56efe4d7597c03c3647f5d24fcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-11-28T13:43:55Z",
    "title_canon_sha256": "130fb182ac6ce41238e77175791dfa2753d0d539b5be9ee5fda565e0892f3f62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09114",
    "kind": "arxiv",
    "version": 2
  }
}