Pith Number

pith:NTO7A4VM

pith:2018:NTO7A4VMFL7TNEUDZTF6U6K5LC

not attested not anchored not stored refs pending

Fractional jumps: complete characterisation and an explicit infinite family

Federico Amadio Guidi, Giacomo Micheli

arxiv:1805.11658 v1 · 2018-05-29 · 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{NTO7A4VMFL7TNEUDZTF6U6K5LC}

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	2026-05-17T23:54:16.452259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cddf072ac2aff369283cccbea795d58bd3fde4bd02c36fc8bfa8613dfc8138e

Aliases

arxiv: 1805.11658 · arxiv_version: 1805.11658v1 · doi: 10.48550/arxiv.1805.11658 · pith_short_12: NTO7A4VMFL7T · pith_short_16: NTO7A4VMFL7TNEUD · pith_short_8: NTO7A4VM

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/NTO7A4VMFL7TNEUDZTF6U6K5LC \
  | 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: 6cddf072ac2aff369283cccbea795d58bd3fde4bd02c36fc8bfa8613dfc8138e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1506479f8d85f475c660c3dd5ace6bd2de3c7cc7171bb3067e72ac055cd6f89b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-29T18:57:13Z",
    "title_canon_sha256": "e10c7d1e855d75b25c6adaed79a542715139dd879357b09efe6f34ca35780052"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11658",
    "kind": "arxiv",
    "version": 1
  }
}