Pith Number

pith:7S72RD2E

pith:2016:7S72RD2E6YH5VY7PO7JY4DZFCI

not attested not anchored not stored refs pending

Phase Structure of XX0 Spin Chain and Nonintersecting Brownian Motion

Ali Zahabi, Meghdad Saeedian

arxiv:1612.03463 v2 · 2016-12-11 · math-ph · cond-mat.stat-mech · hep-th · 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{7S72RD2E6YH5VY7PO7JY4DZFCI}

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	2026-05-18T00:38:36.208199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcbfa88f44f60fdae3ef77d38e0f25121eecced51792e6962cdd7c97ff4118fc

Aliases

arxiv: 1612.03463 · arxiv_version: 1612.03463v2 · doi: 10.48550/arxiv.1612.03463 · pith_short_12: 7S72RD2E6YH5 · pith_short_16: 7S72RD2E6YH5VY7P · pith_short_8: 7S72RD2E

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/7S72RD2E6YH5VY7PO7JY4DZFCI \
  | 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: fcbfa88f44f60fdae3ef77d38e0f25121eecced51792e6962cdd7c97ff4118fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9756fbb97e2b508a35b01070ffbfb3d00f6a6649e37f01e10f66b0e2a413d0c",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-11T19:43:07Z",
    "title_canon_sha256": "8cf3a5f6cb90e889615c9c732326a660542e5c54403455a3f6f28e98f7ea74a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03463",
    "kind": "arxiv",
    "version": 2
  }
}