Pith Number

pith:QXH4AFM2

pith:2016:QXH4AFM2RW5KFRFQHFTOBBCC5T

not attested not anchored not stored refs pending

Spectral Bounds for the Ising Ferromagnet on an Arbitrary Given Graph

Alaa Saade, Florent Krzakala, Lenka Zdeborov\'a

arxiv:1609.08269 v1 · 2016-09-27 · cond-mat.dis-nn · 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{QXH4AFM2RW5KFRFQHFTOBBCC5T}

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	2026-05-18T00:44:04.193587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85cfc0159a8dbaa2c4b03966e08442ecf55ee3a7139341c71ae92b7c2ba95d8f

Aliases

arxiv: 1609.08269 · arxiv_version: 1609.08269v1 · doi: 10.48550/arxiv.1609.08269 · pith_short_12: QXH4AFM2RW5K · pith_short_16: QXH4AFM2RW5KFRFQ · pith_short_8: QXH4AFM2

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/QXH4AFM2RW5KFRFQHFTOBBCC5T \
  | 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: 85cfc0159a8dbaa2c4b03966e08442ecf55ee3a7139341c71ae92b7c2ba95d8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c423220d320f7debc8fc02f9e24cc39f5073446666e53949cc52e279c1ae261",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2016-09-27T06:04:14Z",
    "title_canon_sha256": "a70fecdbfdd6c6e814aa5c35d8af2f9528a6d9dde8953b41f426caeb95f387c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08269",
    "kind": "arxiv",
    "version": 1
  }
}