Pith Number

pith:GFVD4PTE

pith:2025:GFVD4PTEDN3YXDMFZ5PGE6JL4F

not attested not anchored not stored refs pending

Coordinate-energy transformation and the one-point function for the Heisenberg-Ising XXZ spin-1/2 chain on the ring

Axel Saenz, Eric I. Corwin, Nikolaus Elsaesser

arxiv:2506.14171 v1 · 2025-06-17 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GFVD4PTEDN3YXDMFZ5PGE6JL4F}

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	2026-07-05T11:22:50.286976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

316a3e3e641b778b8d85cf5e62792be162cb2de7663a89e5619e4f5327e8fcd1

Aliases

arxiv: 2506.14171 · arxiv_version: 2506.14171v1 · doi: 10.48550/arxiv.2506.14171 · pith_short_12: GFVD4PTEDN3Y · pith_short_16: GFVD4PTEDN3YXDMF · pith_short_8: GFVD4PTE

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/GFVD4PTEDN3YXDMFZ5PGE6JL4F \
  | 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: 316a3e3e641b778b8d85cf5e62792be162cb2de7663a89e5619e4f5327e8fcd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ccdc7937044e1fd10122e2d50b9bce96e9fb914b10e25db4b7fefbbf73be65",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-06-17T04:26:52Z",
    "title_canon_sha256": "a80c01ff36ffd49c3775470f8946f93826f4cdefc6c14fb848883b1907295792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14171",
    "kind": "arxiv",
    "version": 1
  }
}