Pith Number

pith:6BIVABQG

pith:2015:6BIVABQG3VEHZAKUMMICUBACSU

not attested not anchored not stored refs pending

Log-optimal configurations on the sphere

P. D. Dragnev

arxiv:1504.02544 v1 · 2015-04-10 · 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{6BIVABQG3VEHZAKUMMICUBACSU}

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	2026-05-18T02:19:07.411655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f051500606dd487c815463102a04029522b56e0646257ef9eb3e94b3c1b76d8f

Aliases

arxiv: 1504.02544 · arxiv_version: 1504.02544v1 · doi: 10.48550/arxiv.1504.02544 · pith_short_12: 6BIVABQG3VEH · pith_short_16: 6BIVABQG3VEHZAKU · pith_short_8: 6BIVABQG

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/6BIVABQG3VEHZAKUMMICUBACSU \
  | 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: f051500606dd487c815463102a04029522b56e0646257ef9eb3e94b3c1b76d8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcd3734dc0aa07ba62b6eeb487ec1750ddf5912ba80148ff0f4c8b8d772fbeda",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-10T03:38:12Z",
    "title_canon_sha256": "c308b822d0f529cb2c23f553eeeac5a2f3f45e639e6b7d06d7c7515d61dab451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02544",
    "kind": "arxiv",
    "version": 1
  }
}