Pith Number

pith:JAQMOJ6E

pith:2026:JAQMOJ6EQMJG4CC6XVDEBFTUWF

not attested not anchored not stored refs pending

Quantum codes from classical annealing

Ben Criger, Matthew Steinberg, Michael A. Perlin

arxiv:2607.19574 v1 · 2026-07-21 · 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{JAQMOJ6EQMJG4CC6XVDEBFTUWF}

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	2026-07-23T00:23:57.219730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4820c727c483126e085ebd46409674b16b72eae53f9a6d294ee7884963b0cc47

Aliases

arxiv: 2607.19574 · arxiv_version: 2607.19574v1 · doi: 10.48550/arxiv.2607.19574 · pith_short_12: JAQMOJ6EQMJG · pith_short_16: JAQMOJ6EQMJG4CC6 · pith_short_8: JAQMOJ6E

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/JAQMOJ6EQMJG4CC6XVDEBFTUWF \
  | 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: 4820c727c483126e085ebd46409674b16b72eae53f9a6d294ee7884963b0cc47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd24e07c73c61db850317d7110e7439c459537522244defa317f49f03c96e90d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-21T21:01:37Z",
    "title_canon_sha256": "8eed07b7e6324e46527415fce6ae8d3d7add793d54ebee3985558fb3fbcf2e13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19574",
    "kind": "arxiv",
    "version": 1
  }
}