Pith Number

pith:UOYZKEKW

pith:2026:UOYZKEKWUQWOLMWHTSC32QVM42

not attested not anchored not stored refs pending

Implicit differentiation of tensor network algorithms

Anna Francuz, Bram Vanhecke, Frank Verstraete, Jutho Haegeman, Lander Burgelman, Lukas Devos, Paul Brehmer

arxiv:2607.15030 v1 · 2026-07-16 · quant-ph · cond-mat.str-el · physics.comp-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{UOYZKEKWUQWOLMWHTSC32QVM42}

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	2026-07-17T01:22:05.532432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3b1951156a42ce5b2c79c85bd42ace68ea96634603f9427609ec17a12573e9c

Aliases

arxiv: 2607.15030 · arxiv_version: 2607.15030v1 · doi: 10.48550/arxiv.2607.15030 · pith_short_12: UOYZKEKWUQWO · pith_short_16: UOYZKEKWUQWOLMWH · pith_short_8: UOYZKEKW

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/UOYZKEKWUQWOLMWHTSC32QVM42 \
  | 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: a3b1951156a42ce5b2c79c85bd42ace68ea96634603f9427609ec17a12573e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9291dc5fd3f63698bb4188afad3f7f1289fc7da011dc169270254a1848bcdd42",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-16T14:13:33Z",
    "title_canon_sha256": "e77245feafedc498f2717c39aad3ed8c8d98b9b4a30de70ad00d5712457971e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15030",
    "kind": "arxiv",
    "version": 1
  }
}