Pith Number

pith:UVBYMWOK

pith:2013:UVBYMWOKNQ7XLPTOQ44M2NVOBJ

not attested not anchored not stored refs pending

Lifting/lowering Hopfield models ground state energies

Mihailo Stojnic

arxiv:1306.3975 v1 · 2013-06-17 · math.OC · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UVBYMWOKNQ7XLPTOQ44M2NVOBJ}

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	2026-05-18T03:20:44.727857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5438659ca6c3f75be6e8738cd36ae0a68675c8c9303e3dd28458ffcca405b95

Aliases

arxiv: 1306.3975 · arxiv_version: 1306.3975v1 · doi: 10.48550/arxiv.1306.3975 · pith_short_12: UVBYMWOKNQ7X · pith_short_16: UVBYMWOKNQ7XLPTO · pith_short_8: UVBYMWOK

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/UVBYMWOKNQ7XLPTOQ44M2NVOBJ \
  | 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: a5438659ca6c3f75be6e8738cd36ae0a68675c8c9303e3dd28458ffcca405b95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3454b1bc102f796a40d1df8bf354270ae64d94e12c4a234e89c2a51f05c4808",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-06-17T08:30:56Z",
    "title_canon_sha256": "3e690b24b0860d7f728ef3dd8eba64a9d6e14f1f8bbf74e671e6c421d9ee5f60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3975",
    "kind": "arxiv",
    "version": 1
  }
}