Pith Number

pith:NLB3KJ7K

pith:2016:NLB3KJ7K6HAETOUGS4V37GDUER

not attested not anchored not stored refs pending

Virtual tangles and fiber functors

Adrien Brochier

arxiv:1602.03080 v2 · 2016-02-09 · math.QA · 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{NLB3KJ7K6HAETOUGS4V37GDUER}

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	2026-05-18T00:35:14.092256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ac3b527eaf1c049ba86972bbf9874246d603d5a8bccd1963b0d67129ed25ddd

Aliases

arxiv: 1602.03080 · arxiv_version: 1602.03080v2 · doi: 10.48550/arxiv.1602.03080 · pith_short_12: NLB3KJ7K6HAE · pith_short_16: NLB3KJ7K6HAETOUG · pith_short_8: NLB3KJ7K

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/NLB3KJ7K6HAETOUGS4V37GDUER \
  | 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: 6ac3b527eaf1c049ba86972bbf9874246d603d5a8bccd1963b0d67129ed25ddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32bd2a689a98deaec17086b641c0d9ea6dac8724d25928fe64e898936235c76a",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2016-02-09T17:19:01Z",
    "title_canon_sha256": "2be39fe43ec7cb62b2279b9f9d6734da3836e9441b48fd99b5ef1ab43e47e5ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03080",
    "kind": "arxiv",
    "version": 2
  }
}