Pith Number

pith:GFDF4IMK

pith:2015:GFDF4IMKAGDHQZDLABF6MVG2X6

not attested not anchored not stored refs pending

Equidistribution of Frobenius eigenvalues

Jack A. Thorne

arxiv:1501.03437 v1 · 2015-01-14 · 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{GFDF4IMKAGDHQZDLABF6MVG2X6}

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	2026-05-18T02:29:24.050850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31465e218a018678646b004be654dabf9d28e56105689124871e7328a9881547

Aliases

arxiv: 1501.03437 · arxiv_version: 1501.03437v1 · doi: 10.48550/arxiv.1501.03437 · pith_short_12: GFDF4IMKAGDH · pith_short_16: GFDF4IMKAGDHQZDL · pith_short_8: GFDF4IMK

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/GFDF4IMKAGDHQZDLABF6MVG2X6 \
  | 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: 31465e218a018678646b004be654dabf9d28e56105689124871e7328a9881547

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "938d8e4db9dfe0b38eba61d14548edda7163a649aeb7a53dc42c28e54fa268e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-14T18:32:10Z",
    "title_canon_sha256": "b106161dfedbb3c1468fd1605da0eeeb4a3b9d2ab0392a81ba3deb4c31103240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03437",
    "kind": "arxiv",
    "version": 1
  }
}