Pith Number

pith:MSHRGTP3

pith:2012:MSHRGTP375YXO6HXHZD7RRDA4C

not attested not anchored not stored refs pending

Splitting Varieties for Triple Massey Products

Kirsten Wickelgren, Michael Hopkins

arxiv:1210.4964 v2 · 2012-10-17 · math.AT · 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{MSHRGTP375YXO6HXHZD7RRDA4C}

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	2026-05-18T02:50:52.034417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

648f134dfbff717778f73e47f8c460e09d7cbfc3d1c87ed07c947bc6f1ade9fb

Aliases

arxiv: 1210.4964 · arxiv_version: 1210.4964v2 · doi: 10.48550/arxiv.1210.4964 · pith_short_12: MSHRGTP375YX · pith_short_16: MSHRGTP375YXO6HX · pith_short_8: MSHRGTP3

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/MSHRGTP375YXO6HXHZD7RRDA4C \
  | 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: 648f134dfbff717778f73e47f8c460e09d7cbfc3d1c87ed07c947bc6f1ade9fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a9f0ff5f5eb729f0b9a13c5f565f4361fbc1c44ef5901ca1118bf22f7a11fbf",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-10-17T21:35:28Z",
    "title_canon_sha256": "cfb66ee5ce93b437c143824486b6fee5ba13c062ed42f32fcb2408ac9523cead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4964",
    "kind": "arxiv",
    "version": 2
  }
}