Pith Number

pith:KZGS5NEN

pith:2016:KZGS5NEN32N7ASLW2RYBRVQ4TY

not attested not anchored not stored refs pending

Massey products <y,x,x,...,x,x,y> in Galois cohomology via rational points

Kirsten Wickelgren

arxiv:1601.06318 v2 · 2016-01-23 · math.AT · math.AG · 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{KZGS5NEN32N7ASLW2RYBRVQ4TY}

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	2026-05-18T01:04:50.148652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

564d2eb48dde9bf04976d47018d61c9e0f99fffbd8c2347753b7b1d92a3d31fe

Aliases

arxiv: 1601.06318 · arxiv_version: 1601.06318v2 · doi: 10.48550/arxiv.1601.06318 · pith_short_12: KZGS5NEN32N7 · pith_short_16: KZGS5NEN32N7ASLW · pith_short_8: KZGS5NEN

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/KZGS5NEN32N7ASLW2RYBRVQ4TY \
  | 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: 564d2eb48dde9bf04976d47018d61c9e0f99fffbd8c2347753b7b1d92a3d31fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "599c9141497bbe7aa5d9db60af0f5cd6b55c6f007940039227cb7eb0d591cfda",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-01-23T22:49:01Z",
    "title_canon_sha256": "9ac2913dccacd057b0a2952f323f5e26bb2c5674e9c660f4e1508690a1c702f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06318",
    "kind": "arxiv",
    "version": 2
  }
}