Pith Number

pith:67HX3FTU

pith:2013:67HX3FTUPKLHCSHS7LBBG6BJJJ

not attested not anchored not stored refs pending

Triple Massey products and Galois theory

Jan Minac, Nguyen Duy Tan

arxiv:1307.6624 v3 · 2013-07-25 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67HX3FTUPKLHCSHS7LBBG6BJJJ}

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	2026-05-18T02:39:38.329311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7cf7d96747a967148f2fac21378294a4eff26a93fe33ba4a021e27411249682

Aliases

arxiv: 1307.6624 · arxiv_version: 1307.6624v3 · doi: 10.48550/arxiv.1307.6624 · pith_short_12: 67HX3FTUPKLH · pith_short_16: 67HX3FTUPKLHCSHS · pith_short_8: 67HX3FTU

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/67HX3FTUPKLHCSHS7LBBG6BJJJ \
  | 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: f7cf7d96747a967148f2fac21378294a4eff26a93fe33ba4a021e27411249682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e65eb8b177016cedfb9b6df5721c34968e947b59a1e4ec5a7be85572510cdee6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-25T02:24:10Z",
    "title_canon_sha256": "41fcf996f22ae4651877808c517c07a167a04a21560b4c7fbc3b710fa2c3ee50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6624",
    "kind": "arxiv",
    "version": 3
  }
}