Pith Number

pith:V2KLF6JS

pith:2013:V2KLF6JSLFN4IFQJTYJRTJLQI7

not attested not anchored not stored refs pending

Observed Asymptotic Differences in Energies of Stable and Minimal Point Configurations on $\mathbb{S}^2$ and the Role of Defects

A. Schulz, C. Fichtl, D. Hardin, M. Calef, W. Griffiths

arxiv:1307.0409 v2 · 2013-07-01 · 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{V2KLF6JSLFN4IFQJTYJRTJLQI7}

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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	2026-05-18T01:49:01.121076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae94b2f932595bc416099e1319a57047f1299700d0bcf935ab8dcb1f8462348e

Aliases

arxiv: 1307.0409 · arxiv_version: 1307.0409v2 · doi: 10.48550/arxiv.1307.0409 · pith_short_12: V2KLF6JSLFN4 · pith_short_16: V2KLF6JSLFN4IFQJ · pith_short_8: V2KLF6JS

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/V2KLF6JSLFN4IFQJTYJRTJLQI7 \
  | 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: ae94b2f932595bc416099e1319a57047f1299700d0bcf935ab8dcb1f8462348e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fc95b87aafd24742342ad39ebb169076deb459ce8ebb9933fd479b6bfced702",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-01T15:34:12Z",
    "title_canon_sha256": "e7b308bf870ce54bea15d303a2c630c50ded094153ce69777186857876071127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0409",
    "kind": "arxiv",
    "version": 2
  }
}