Pith Number

pith:OXCRCW6J

pith:2019:OXCRCW6JZAHWJDS3N3BZQURSQL

not attested not anchored not stored refs pending

Cosine formula for generalized O'Hara's energies

Takeyuki Nagasawa

arxiv:1907.08765 v1 · 2019-07-20 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OXCRCW6JZAHWJDS3N3BZQURSQL}

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	2026-05-17T23:40:05.424143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75c5115bc9c80f648e5b6ec398523282c7659d380b9df2f90c0ff332fbb664a9

Aliases

arxiv: 1907.08765 · arxiv_version: 1907.08765v1 · doi: 10.48550/arxiv.1907.08765 · pith_short_12: OXCRCW6JZAHW · pith_short_16: OXCRCW6JZAHWJDS3 · pith_short_8: OXCRCW6J

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/OXCRCW6JZAHWJDS3N3BZQURSQL \
  | 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: 75c5115bc9c80f648e5b6ec398523282c7659d380b9df2f90c0ff332fbb664a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc4cb8bc25674b67eeec2aee12b67212d8be3263f44b63b7e6b3488678627fb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-07-20T05:51:45Z",
    "title_canon_sha256": "a4f429c87c7627c2b7b0d7f881ba0405a140b695bdbf930d3a70826c2888ab07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08765",
    "kind": "arxiv",
    "version": 1
  }
}