Pith Number

pith:FPSOSAAY

pith:2009:FPSOSAAYIUCA5BNCRNPBHWBXVE

not attested not anchored not stored refs pending

Discrete Energy Asymptotics on a Riemannian circle

D. P. Hardin, E. B. Saff, J. S. Brauchart

arxiv:0912.4720 v1 · 2009-12-23 · 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{FPSOSAAYIUCA5BNCRNPBHWBXVE}

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	2026-05-18T02:59:06.925583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2be4e9001845040e85a28b5e13d837a92754de1c8cee54224cb6f94ae472345b

Aliases

arxiv: 0912.4720 · arxiv_version: 0912.4720v1 · doi: 10.48550/arxiv.0912.4720 · pith_short_12: FPSOSAAYIUCA · pith_short_16: FPSOSAAYIUCA5BNC · pith_short_8: FPSOSAAY

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/FPSOSAAYIUCA5BNCRNPBHWBXVE \
  | 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: 2be4e9001845040e85a28b5e13d837a92754de1c8cee54224cb6f94ae472345b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "551dce3c94b003f06b6048872f2e7775a262a928546e3605d08b1c0ccb9bbd44",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-12-23T20:06:27Z",
    "title_canon_sha256": "b8b21dcca79d13eaeadfda9a217e8bf0fe02bae108043a494b8c1b80fa8bffe8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4720",
    "kind": "arxiv",
    "version": 1
  }
}