Pith Number

pith:4K6LMTZD

pith:2013:4K6LMTZDNVCMLGQYVYQLA2VV7U

not attested not anchored not stored refs pending

Weighted energy problem on the unit circle

Igor E. Pritsker

arxiv:1307.5454 v1 · 2013-07-20 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4K6LMTZDNVCMLGQYVYQLA2VV7U}

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	2026-05-18T03:17:55.667298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2bcb64f236d44c59a18ae20b06ab5fd0cd26c2a887e4be8170cd034691c481e

Aliases

arxiv: 1307.5454 · arxiv_version: 1307.5454v1 · doi: 10.48550/arxiv.1307.5454 · pith_short_12: 4K6LMTZDNVCM · pith_short_16: 4K6LMTZDNVCMLGQY · pith_short_8: 4K6LMTZD

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/4K6LMTZDNVCMLGQYVYQLA2VV7U \
  | 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: e2bcb64f236d44c59a18ae20b06ab5fd0cd26c2a887e4be8170cd034691c481e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2922f6ac70da2ae2f0ccf9d7cc6d98275b14c58cc90f95cb37e3c9dd2122a4a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-07-20T19:35:48Z",
    "title_canon_sha256": "b6cd14742459458b69ac8519f15d8b24799aba8ce5a326f55a1faf3117f4e86b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5454",
    "kind": "arxiv",
    "version": 1
  }
}