Pith Number

pith:6J7AXA3M

pith:2005:6J7AXA3MDLZX67QE3G5WCI5R7J

not attested not anchored not stored refs pending

Phase transition and split property in quantum spin chain

Anilesh Mohari

arxiv:math-ph/0505035 v6 · 2005-05-11 · math-ph · math.FA · 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{6J7AXA3MDLZX67QE3G5WCI5R7J}

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	2026-05-18T03:09:20.593446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f27e0b836c1af37f7e04d9bb6123b1fa72a39a9927ae688d00c09490f1d9348c

Aliases

arxiv: math-ph/0505035 · arxiv_version: math-ph/0505035v6 · doi: 10.48550/arxiv.math-ph/0505035 · pith_short_12: 6J7AXA3MDLZX · pith_short_16: 6J7AXA3MDLZX67QE · pith_short_8: 6J7AXA3M

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/6J7AXA3MDLZX67QE3G5WCI5R7J \
  | 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: f27e0b836c1af37f7e04d9bb6123b1fa72a39a9927ae688d00c09490f1d9348c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51209fc142ddfb37f21371973cd8eed2d0bfcf7b2c68a8c0625d2fda7cf1fdb5",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-05-11T09:56:10Z",
    "title_canon_sha256": "32b386f982e950f50d7784de6f2075c11d83d343322dac53f49dbc1244d5be0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0505035",
    "kind": "arxiv",
    "version": 6
  }
}