Pith Number

pith:SUQDMPW3

pith:2026:SUQDMPW3U2KSMXZFFVN3DSIRZG

not attested not anchored not stored refs pending

Supermartingales in Quantum Resources Theories: Where do quantum resources go when you're watching?

Katarzyna Macieszczak, Robert L. Jack

arxiv:2607.26225 v1 · 2026-07-28 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SUQDMPW3U2KSMXZFFVN3DSIRZG}

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	2026-07-30T01:17:45.307928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

9520363edba695265f252d5bb1c911c990da49e31857a4c68034ae264f4ff0ac

Aliases

arxiv: 2607.26225 · arxiv_version: 2607.26225v1 · doi: 10.48550/arxiv.2607.26225 · pith_short_12: SUQDMPW3U2KS · pith_short_16: SUQDMPW3U2KSMXZF · pith_short_8: SUQDMPW3

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/SUQDMPW3U2KSMXZFFVN3DSIRZG \
  | 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: 9520363edba695265f252d5bb1c911c990da49e31857a4c68034ae264f4ff0ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38d1751c49ea290cc1d8730ac6a821ec3bd1b8fbd7fe7e6f2057a6c83bdc5707",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-28T20:00:00Z",
    "title_canon_sha256": "d2edf368975405e44404c25c991e09fdcb98551c1200c824cc25826ba818d284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26225",
    "kind": "arxiv",
    "version": 1
  }
}