Pith Number

pith:OCIU7QC4

pith:2015:OCIU7QC4WT65ZEM3SEOIYPVTTZ

not attested not anchored not stored refs pending

Some Properties of the Phase Diagram for Mixed $p$-Spin Glasses

Aukosh Jagannath, Ian Tobasco

arxiv:1504.02731 v2 · 2015-04-10 · math.PR · 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{OCIU7QC4WT65ZEM3SEOIYPVTTZ}

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	2026-05-18T00:41:13.272398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70914fc05cb4fddc919b911c8c3eb39e426144e369b7f08b7da19b9e5f5d04e6

Aliases

arxiv: 1504.02731 · arxiv_version: 1504.02731v2 · doi: 10.48550/arxiv.1504.02731 · pith_short_12: OCIU7QC4WT65 · pith_short_16: OCIU7QC4WT65ZEM3 · pith_short_8: OCIU7QC4

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/OCIU7QC4WT65ZEM3SEOIYPVTTZ \
  | 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: 70914fc05cb4fddc919b911c8c3eb39e426144e369b7f08b7da19b9e5f5d04e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaa0a28e30d8bc29ba6962554237db34bd64de64370d373c66fef972f4fedd62",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-10T16:20:02Z",
    "title_canon_sha256": "d4b15c030ff34f8cfe4cf9ca4f40a73779136fd4636c76b4f0f5be2347d89083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02731",
    "kind": "arxiv",
    "version": 2
  }
}