Pith Number

pith:3I3Z5X7V

pith:2025:3I3Z5X7VIH3XCLT4KN46S2O6IB

not attested not anchored not stored refs pending

On the original Ulam's problem and its quantization

Changguang Dong, Jing Zhou

arxiv:2506.01684 v2 · 2025-06-02 · math.DS · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3I3Z5X7VIH3XCLT4KN46S2O6IB}

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	2026-07-05T11:39:54.624277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da379edff541f7712e7c5379e969de407b35e1e5bc4d1082f43a78da17e23678

Aliases

arxiv: 2506.01684 · arxiv_version: 2506.01684v2 · doi: 10.48550/arxiv.2506.01684 · pith_short_12: 3I3Z5X7VIH3X · pith_short_16: 3I3Z5X7VIH3XCLT4 · pith_short_8: 3I3Z5X7V

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/3I3Z5X7VIH3XCLT4KN46S2O6IB \
  | 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: da379edff541f7712e7c5379e969de407b35e1e5bc4d1082f43a78da17e23678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "face790bd764821550956e471298b77e56f6c0a05e2b284457079211288b54a1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-06-02T13:49:54Z",
    "title_canon_sha256": "1c0a5c34049413f860e4777e2bec3ce2fa646b8888bd24de5c7f8adeb3d5e2d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01684",
    "kind": "arxiv",
    "version": 2
  }
}