Pith Number

pith:4FIL73QA

pith:2013:4FIL73QAP4SVKSZKNTZN6PXB7O

not attested not anchored not stored refs pending

Random Fields, Topology, and The Imry-Ma Argument

Dmitry A. Garanin, Eugene M. Chudnovsky, Thomas C. Proctor

arxiv:1312.7428 v1 · 2013-12-28 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FIL73QAP4SVKSZKNTZN6PXB7O}

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	2026-05-18T01:45:35.498549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e150bfee007f25554b2a6cf2df3ee1fb86ce04160096ac8485ec86c278ad6efe

Aliases

arxiv: 1312.7428 · arxiv_version: 1312.7428v1 · doi: 10.48550/arxiv.1312.7428 · pith_short_12: 4FIL73QAP4SV · pith_short_16: 4FIL73QAP4SVKSZK · pith_short_8: 4FIL73QA

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/4FIL73QAP4SVKSZKNTZN6PXB7O \
  | 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: e150bfee007f25554b2a6cf2df3ee1fb86ce04160096ac8485ec86c278ad6efe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fa1cdd28fd78c3ff5c1de716b08ac8b3de869be7b0268b3aeb19986e7151edd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-12-28T12:20:04Z",
    "title_canon_sha256": "4375da233603c29e375c7efd2d1e488a170ddaaca21e86ca59eb9a6d0bb4e656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7428",
    "kind": "arxiv",
    "version": 1
  }
}