Pith Number

pith:B2LEH5SV

pith:2011:B2LEH5SV3HM7F5EOSEHANRY4E3

not attested not anchored not stored refs pending

Canonical dual theory applied to a Lennard-Jones potential minimization problem

Jiapu Zhang

arxiv:1107.5146 v2 · 2011-07-26 · math.OC · physics.bio-ph · q-bio.BM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2LEH5SV3HM7F5EOSEHANRY4E3}

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	2026-05-18T03:38:46.408056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e9643f655d9d9f2f48e910e06c71c26e8100732b6d4b6dc11e0e55f725fbb1a

Aliases

arxiv: 1107.5146 · arxiv_version: 1107.5146v2 · doi: 10.48550/arxiv.1107.5146 · pith_short_12: B2LEH5SV3HM7 · pith_short_16: B2LEH5SV3HM7F5EO · pith_short_8: B2LEH5SV

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/B2LEH5SV3HM7F5EOSEHANRY4E3 \
  | 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: 0e9643f655d9d9f2f48e910e06c71c26e8100732b6d4b6dc11e0e55f725fbb1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21317381bd693bc42fe536945bf560d19c45d5a57bfda6b0b9e5ae868a56bcc3",
    "cross_cats_sorted": [
      "physics.bio-ph",
      "q-bio.BM"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-07-26T09:33:06Z",
    "title_canon_sha256": "f107669ee28e69a16b362ec8bf2a976fcb5dec1ad0230ac9a15936734becd96f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5146",
    "kind": "arxiv",
    "version": 2
  }
}