Pith Number

pith:N55O2B33

pith:2016:N55O2B33AEHDWGFSD4MYPFEBG2

not attested not anchored not stored refs pending

A duality principle in spin glasses

Antonio Auffinger, Wei-Kuo Chen

arxiv:1605.01716 v3 · 2016-05-05 · 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{N55O2B33AEHDWGFSD4MYPFEBG2}

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	2026-05-18T00:44:09.656691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f7aed077b010e3b18b21f1987948136a225859d343a90047650b04fb49bdf6e

Aliases

arxiv: 1605.01716 · arxiv_version: 1605.01716v3 · doi: 10.48550/arxiv.1605.01716 · pith_short_12: N55O2B33AEHD · pith_short_16: N55O2B33AEHDWGFS · pith_short_8: N55O2B33

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/N55O2B33AEHDWGFSD4MYPFEBG2 \
  | 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: 6f7aed077b010e3b18b21f1987948136a225859d343a90047650b04fb49bdf6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78f264e1ea90b01c8f8f9f42e88b8d80e87dc8068085230515928d789aa66821",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-05T19:56:21Z",
    "title_canon_sha256": "9119b2fbd883b014458ea10c34ad05e6ce8fb385a10fcdf91e366eb9c5fca620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01716",
    "kind": "arxiv",
    "version": 3
  }
}