Pith Number

pith:3PMMKD3F

pith:2026:3PMMKD3FYVFZUFY4EXJBPR7JQU

not attested not anchored not stored refs pending

Backpropagating Pauli Propagation

Etienne Granet, Henrik Dreyer, Kevin H\'emery, Sheng-Hsuan Lin

arxiv:2607.15184 v1 · 2026-07-16 · quant-ph · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PMMKD3FYVFZUFY4EXJBPR7JQU}

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	2026-07-17T01:22:13.289446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbd8c50f65c54b9a171c25d217c7e985223e63d57fad5c39eca616dc17090757

Aliases

arxiv: 2607.15184 · arxiv_version: 2607.15184v1 · doi: 10.48550/arxiv.2607.15184 · pith_short_12: 3PMMKD3FYVFZ · pith_short_16: 3PMMKD3FYVFZUFY4 · pith_short_8: 3PMMKD3F

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/3PMMKD3FYVFZUFY4EXJBPR7JQU \
  | 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: dbd8c50f65c54b9a171c25d217c7e985223e63d57fad5c39eca616dc17090757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0252b02564594d6284147f576d48f7077044c5ed0ca952329d0d0764dfbef428",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-16T16:35:38Z",
    "title_canon_sha256": "6d1af4183ad3b56cd0666ae3ee25901a484eb1b2111bb71e36d7f00343a4e7c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15184",
    "kind": "arxiv",
    "version": 1
  }
}