Pith Number

pith:3B6A4FSN

pith:2011:3B6A4FSNUEGFSTWD7IS6KFCEMH

not attested not anchored not stored refs pending

On the minimal set for counterexamples to the local-global principle

Evelina Viada, Gabriele Ranieri, Laura Paladino

arxiv:1107.3431 v1 · 2011-07-18 · 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{3B6A4FSNUEGFSTWD7IS6KFCEMH}

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	2026-05-18T04:18:03.128367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d87c0e164da10c594ec3fa25e5144461e27ae3ecd3b1f90bd937d62311f598ef

Aliases

arxiv: 1107.3431 · arxiv_version: 1107.3431v1 · doi: 10.48550/arxiv.1107.3431 · pith_short_12: 3B6A4FSNUEGF · pith_short_16: 3B6A4FSNUEGFSTWD · pith_short_8: 3B6A4FSN

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/3B6A4FSNUEGFSTWD7IS6KFCEMH \
  | 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: d87c0e164da10c594ec3fa25e5144461e27ae3ecd3b1f90bd937d62311f598ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b2462df4d4d7c41450f4b8f7cb3296e4e89bb8b7082bba7f8a6fc3d7abc8d45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-18T13:29:44Z",
    "title_canon_sha256": "b037dd211af1aeb11849d93108ab0e9bce8a78424223073b97e5f3147c14e076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3431",
    "kind": "arxiv",
    "version": 1
  }
}