Pith Number

pith:QHEE6RO7

pith:2011:QHEE6RO73OTK5EGPTQEUVF5CG7

not attested not anchored not stored refs pending

Regular and irregular geodesics on spherical harmonic surfaces

Thomas J. Waters

arxiv:1112.3231 v1 · 2011-12-14 · math.DS · math.DG · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHEE6RO73OTK5EGPTQEUVF5CG7}

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	2026-05-18T04:06:19.740924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81c84f45dfdba6ae90cf9c094a97a237c9b2b9cffaee5ec1bd91330da5345713

Aliases

arxiv: 1112.3231 · arxiv_version: 1112.3231v1 · doi: 10.48550/arxiv.1112.3231 · pith_short_12: QHEE6RO73OTK · pith_short_16: QHEE6RO73OTK5EGP · pith_short_8: QHEE6RO7

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/QHEE6RO73OTK5EGPTQEUVF5CG7 \
  | 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: 81c84f45dfdba6ae90cf9c094a97a237c9b2b9cffaee5ec1bd91330da5345713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a19210ce7b3da4ebe9c789019f973de45076efceabd9527a0b8e64e37190866",
    "cross_cats_sorted": [
      "math.DG",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-14T14:32:30Z",
    "title_canon_sha256": "e640d721f955ae82ae3d36dc3be42f2af88d19d4567ae1b4bac24452ab5d04d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3231",
    "kind": "arxiv",
    "version": 1
  }
}