Pith Number

pith:EX46PH55

pith:2019:EX46PH556WZLMARODMLFHM6PCF

not attested not anchored not stored refs pending

Ground states for the SOS model with an external field on the Cayley tree

M.A.Rasulova, M.M.Rahmatullaev, M.R.Abdusalomova

arxiv:1908.02457 v1 · 2019-08-07 · 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{EX46PH556WZLMARODMLFHM6PCF}

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	2026-07-04T23:52:09.110714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25f9e79fbdf5b2b6022e1b1653b3cf1155bfa107c0114e2b54d4160a2131ea8c

Aliases

arxiv: 1908.02457 · arxiv_version: 1908.02457v1 · doi: 10.48550/arxiv.1908.02457 · pith_short_12: EX46PH556WZL · pith_short_16: EX46PH556WZLMARO · pith_short_8: EX46PH55

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/EX46PH556WZLMARODMLFHM6PCF \
  | 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: 25f9e79fbdf5b2b6022e1b1653b3cf1155bfa107c0114e2b54d4160a2131ea8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c94d55b09e33f147fed0dea352052905bdf1c5dd1af9fc1763efda4f96d508c6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-07T06:46:23Z",
    "title_canon_sha256": "67ee76d74d29580bbfe1e7ff0dac889b808bbd0ad7300798d448052d1ef25d46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02457",
    "kind": "arxiv",
    "version": 1
  }
}