Pith Number

pith:5J6FFYRH

pith:2025:5J6FFYRHIP2XPRLE3Z3UBHAXCA

not attested not anchored not stored refs pending

Probability-Phase Mutual Information

Cameron Hahn, Fabio Anza, Nishan Ranabhat

arxiv:2510.01104 v4 · 2025-10-01 · quant-ph · cond-mat.quant-gas · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5J6FFYRHIP2XPRLE3Z3UBHAXCA}

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	2026-05-29T02:05:36.658594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea7c52e22743f577c564de77409c171036249c5e0c78cd9df16b03de21872272

Aliases

arxiv: 2510.01104 · arxiv_version: 2510.01104v4 · doi: 10.48550/arxiv.2510.01104 · pith_short_12: 5J6FFYRHIP2X · pith_short_16: 5J6FFYRHIP2XPRLE · pith_short_8: 5J6FFYRH

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/5J6FFYRHIP2XPRLE3Z3UBHAXCA \
  | 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: ea7c52e22743f577c564de77409c171036249c5e0c78cd9df16b03de21872272

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a01419dbdf59eb6d1208d0eb206c33c4690d0f5e190809d72e16b9f3db162f2",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-10-01T16:50:51Z",
    "title_canon_sha256": "a2228588aa079ac40f1aac40caefff89815955b572d53309b4742af6d335db05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.01104",
    "kind": "arxiv",
    "version": 4
  }
}