Pith Number

pith:HDPE6VOP

pith:2014:HDPE6VOPS6FKAAUDEUDHX2QFA7

not attested not anchored not stored refs pending

Triple Massey products and absolute Galois groups

Eliyahu Matzri, Ido Efrat

arxiv:1412.7265 v2 · 2014-12-23 · 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{HDPE6VOPS6FKAAUDEUDHX2QFA7}

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	2026-05-18T01:32:50.620631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38de4f55cf978aa0028325067bea0507f704ee90b9238ba4432a74018eecf8da

Aliases

arxiv: 1412.7265 · arxiv_version: 1412.7265v2 · doi: 10.48550/arxiv.1412.7265 · pith_short_12: HDPE6VOPS6FK · pith_short_16: HDPE6VOPS6FKAAUD · pith_short_8: HDPE6VOP

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/HDPE6VOPS6FKAAUDEUDHX2QFA7 \
  | 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: 38de4f55cf978aa0028325067bea0507f704ee90b9238ba4432a74018eecf8da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e63639e4ec4f7ce7936762e9ecb0d59cc0bc8e5cfaadf9704a3031251b0f2595",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-23T06:46:10Z",
    "title_canon_sha256": "f6f08130e50f4c8c315bd2089cfa395a15796a75191113900696d0fb935c51c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7265",
    "kind": "arxiv",
    "version": 2
  }
}