Pith Number

pith:EF4ZVUNP

pith:2018:EF4ZVUNPKLTQRPEC4WWGVX2AFT

not attested not anchored not stored refs pending

Invariants for trivalent tangles and handlebody-tangles

Carmen Caprau

arxiv:1806.06435 v2 · 2018-06-17 · 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{EF4ZVUNPKLTQRPEC4WWGVX2AFT}

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	2026-05-17T23:44:32.431411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21799ad1af52e708bc82e5ac6adf402cfb0910b53a64f0bc7e926cb8d86e4f1e

Aliases

arxiv: 1806.06435 · arxiv_version: 1806.06435v2 · doi: 10.48550/arxiv.1806.06435 · pith_short_12: EF4ZVUNPKLTQ · pith_short_16: EF4ZVUNPKLTQRPEC · pith_short_8: EF4ZVUNP

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/EF4ZVUNPKLTQRPEC4WWGVX2AFT \
  | 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: 21799ad1af52e708bc82e5ac6adf402cfb0910b53a64f0bc7e926cb8d86e4f1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffa770cd849a0a525450ddecaaf33d32d7fe79aa6720897a1d3b024fa3fc3dd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-06-17T19:41:43Z",
    "title_canon_sha256": "21753e0944371784bd05673fdd4f0bcc4e11eda9292a86fb96e39b014c05d275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06435",
    "kind": "arxiv",
    "version": 2
  }
}