Pith Number

pith:22Z4PG2H

pith:2016:22Z4PG2H5SSJK462INEGCSTQGI

not attested not anchored not stored refs pending

Self-Sustained Clusters as Drivers of Computational Hardness in $p$-spin Models

Chi Ho Yeung, David Saad, Jacopo Rocchi

arxiv:1611.02970 v1 · 2016-11-09 · cond-mat.dis-nn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22Z4PG2H5SSJK462INEGCSTQGI}

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	2026-05-18T00:40:07.834910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6b3c79b47eca49573da4348614a703205577260d12572317c061d206b2f0ec3

Aliases

arxiv: 1611.02970 · arxiv_version: 1611.02970v1 · doi: 10.48550/arxiv.1611.02970 · pith_short_12: 22Z4PG2H5SSJ · pith_short_16: 22Z4PG2H5SSJK462 · pith_short_8: 22Z4PG2H

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/22Z4PG2H5SSJK462INEGCSTQGI \
  | 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: d6b3c79b47eca49573da4348614a703205577260d12572317c061d206b2f0ec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30ab9df839c03b4d7d2324a8f51d8caa350e6e127e56492fbad19d9bdca246ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2016-11-09T15:14:35Z",
    "title_canon_sha256": "5b4a291e9ed7d3d447364d58682a9f0ef8a0b6205ea7cdb837f0e0f00b8a274b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02970",
    "kind": "arxiv",
    "version": 1
  }
}