Pith Number

pith:JEBTW7B4

pith:2016:JEBTW7B42ACLNBL5M6RMWSH6TN

not attested not anchored not stored refs pending

A functorial extension of the Magnus representation to the category of three-dimensional cobordisms

Gwenael Massuyeau, Juan Serrano de Rodrigo, Vincent Florens

arxiv:1604.06905 v4 · 2016-04-23 · 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{JEBTW7B42ACLNBL5M6RMWSH6TN}

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	2026-05-18T00:27:31.697891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49033b7c3cd004b6857d67a2cb48fe9b69bf920b4849877e1958049538083ad8

Aliases

arxiv: 1604.06905 · arxiv_version: 1604.06905v4 · doi: 10.48550/arxiv.1604.06905 · pith_short_12: JEBTW7B42ACL · pith_short_16: JEBTW7B42ACLNBL5 · pith_short_8: JEBTW7B4

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/JEBTW7B42ACLNBL5M6RMWSH6TN \
  | 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: 49033b7c3cd004b6857d67a2cb48fe9b69bf920b4849877e1958049538083ad8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "495def3cf3a27fe10569c369b66e6a909ca492bfef7aa4c65da1a4215482428b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-04-23T13:42:23Z",
    "title_canon_sha256": "4f4e7c3a1ac14a15acb4f6167575085bf4ef5f5d98975f620e09368d43164809"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06905",
    "kind": "arxiv",
    "version": 4
  }
}