Pith Number

pith:4SG4U4UX

pith:2013:4SG4U4UXD2KN2NKN6S2IWEALXH

not attested not anchored not stored refs pending

The Kernel Unipotent Conjecture and the vanishing of Massey products for odd rigid fields

Ido Efrat, Jan Minac, Nguyen Duy Tan

arxiv:1312.2655 v4 · 2013-12-10 · 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{4SG4U4UXD2KN2NKN6S2IWEALXH}

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	2026-05-18T02:30:32.380092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e48dca72971e94dd354df4b48b100bb9c8c2d3fc91683757c78f2a12bc63538f

Aliases

arxiv: 1312.2655 · arxiv_version: 1312.2655v4 · doi: 10.48550/arxiv.1312.2655 · pith_short_12: 4SG4U4UXD2KN · pith_short_16: 4SG4U4UXD2KN2NKN · pith_short_8: 4SG4U4UX

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/4SG4U4UXD2KN2NKN6S2IWEALXH \
  | 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: e48dca72971e94dd354df4b48b100bb9c8c2d3fc91683757c78f2a12bc63538f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ba9623358d92ae286f4cf12b9b1f7ede6a35eabb20e49873fe25d200457cfcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-10T03:29:31Z",
    "title_canon_sha256": "29a016e092c5d0a23ac939db88b2883a14214eb8978509def3c2e414e9308112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2655",
    "kind": "arxiv",
    "version": 4
  }
}