Pith Number

pith:JI72WTW2

pith:2017:JI72WTW2UIEXI5PUSBGLWINKPQ

not attested not anchored not stored refs pending

Fractal Uncertainty Principle with Explicit Exponent

Long Jin, Ruixiang Zhang

arxiv:1710.00250 v3 · 2017-09-30 · math.CA · math.AP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JI72WTW2UIEXI5PUSBGLWINKPQ}

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	2026-05-18T00:14:16.286564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a3fab4edaa2097475f4904cbb21aa7c3ed30f2c7b5065e7e7ce6b633caf706d

Aliases

arxiv: 1710.00250 · arxiv_version: 1710.00250v3 · doi: 10.48550/arxiv.1710.00250 · pith_short_12: JI72WTW2UIEX · pith_short_16: JI72WTW2UIEXI5PU · pith_short_8: JI72WTW2

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/JI72WTW2UIEXI5PUSBGLWINKPQ \
  | 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: 4a3fab4edaa2097475f4904cbb21aa7c3ed30f2c7b5065e7e7ce6b633caf706d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44875bc6c0a8dc3875b63c40d8cfca030a2f22c42b18f4df768a85273c824803",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-09-30T19:26:05Z",
    "title_canon_sha256": "830dde5c8c7de2ad7580cfac6803307806b6288620a0db2b24dd7fff7cb581f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00250",
    "kind": "arxiv",
    "version": 3
  }
}