Pith Number

pith:H65NMNDV

pith:2016:H65NMNDV73HKVSPATBLIEEN7YG

not attested not anchored not stored refs pending

The geometry of the Gibbs measure of pure spherical spin glasses

Eliran Subag

arxiv:1604.00679 v2 · 2016-04-03 · 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{H65NMNDV73HKVSPATBLIEEN7YG}

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	2026-05-18T00:33:23.833563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fbad63475feceaac9e098568211bfc1ba0b8f3cd52d57ea8db38ba8d8bddc5d

Aliases

arxiv: 1604.00679 · arxiv_version: 1604.00679v2 · doi: 10.48550/arxiv.1604.00679 · pith_short_12: H65NMNDV73HK · pith_short_16: H65NMNDV73HKVSPA · pith_short_8: H65NMNDV

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/H65NMNDV73HKVSPATBLIEEN7YG \
  | 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: 3fbad63475feceaac9e098568211bfc1ba0b8f3cd52d57ea8db38ba8d8bddc5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66ae141a5f939ff85304694dd2ec13c3a2721ec3f207f4510c0d5b6a0743929d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-03T19:44:46Z",
    "title_canon_sha256": "6b1cf1c785362f4965f9e4769bdbdb0b4bcc2afc35c07a28772ec36976d70708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00679",
    "kind": "arxiv",
    "version": 2
  }
}