Pith Number

pith:CWHWIJTY

pith:2016:CWHWIJTYLCNNL4IUROZ6EITEAF

not attested not anchored not stored refs pending

Four-fold Massey products in Galois cohomology

Adam Topaz, Jan Minac, Olivier Wittenberg, Pierre Guillot

arxiv:1610.05748 v4 · 2016-10-18 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWHWIJTYLCNNL4IUROZ6EITEAF}

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	2026-05-17T23:53:34.103423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

158f642678589ad5f1148bb3e2226401524527e1f96777be0da516cf528686ba

Aliases

arxiv: 1610.05748 · arxiv_version: 1610.05748v4 · doi: 10.48550/arxiv.1610.05748 · pith_short_12: CWHWIJTYLCNN · pith_short_16: CWHWIJTYLCNNL4IU · pith_short_8: CWHWIJTY

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/CWHWIJTYLCNNL4IUROZ6EITEAF \
  | 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: 158f642678589ad5f1148bb3e2226401524527e1f96777be0da516cf528686ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b819669cadb2e397ff04eb71bf38114817922a7b0db6735e15bf7ab51eb01994",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-18T19:26:47Z",
    "title_canon_sha256": "2dc98f2ef0da0c84dfcb9f1a2b7f8b9889e00cf2bfa6dcaca87addee7656baf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05748",
    "kind": "arxiv",
    "version": 4
  }
}