Pith Number

pith:4ZGW5DFU

pith:2016:4ZGW5DFUTN2TLEWOTKZRVXVXOU

not attested not anchored not stored refs pending

Trace formula for spin chains

Daniel Waltner, Maram Akila, Petr Braun, Thomas Guhr

arxiv:1609.01191 v1 · 2016-09-05 · 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{4ZGW5DFUTN2TLEWOTKZRVXVXOU}

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	2026-05-18T01:06:18.750403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e64d6e8cb49b753592ce9ab31adeb77528dc5d3459812d27b2d81456585b8f8a

Aliases

arxiv: 1609.01191 · arxiv_version: 1609.01191v1 · doi: 10.48550/arxiv.1609.01191 · pith_short_12: 4ZGW5DFUTN2T · pith_short_16: 4ZGW5DFUTN2TLEWO · pith_short_8: 4ZGW5DFU

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/4ZGW5DFUTN2TLEWOTKZRVXVXOU \
  | 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: e64d6e8cb49b753592ce9ab31adeb77528dc5d3459812d27b2d81456585b8f8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82243c2b0678f2967d027c5d9e47a889fb10c77c9b7d99a492d35a6c15472267",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-05T15:06:20Z",
    "title_canon_sha256": "2e683d299b0b228def859052ea84c1cde7afeb02af09015d040c04c23d747812"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01191",
    "kind": "arxiv",
    "version": 1
  }
}