Pith Number

pith:PGRR7TXA

pith:2016:PGRR7TXA2OVW77T7TEFZXJRS77

not attested not anchored not stored refs pending

Self-adjoint boundary conditions for the prolate spheroid differential operator

Victor Katsnelson

arxiv:1603.07542 v1 · 2016-03-24 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGRR7TXA2OVW77T7TEFZXJRS77}

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	2026-05-18T01:18:20.590661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79a31fcee0d3ab6ffe7f990b9ba632ffcb014fc88efed9021d99286f97f99512

Aliases

arxiv: 1603.07542 · arxiv_version: 1603.07542v1 · doi: 10.48550/arxiv.1603.07542 · pith_short_12: PGRR7TXA2OVW · pith_short_16: PGRR7TXA2OVW77T7 · pith_short_8: PGRR7TXA

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/PGRR7TXA2OVW77T7TEFZXJRS77 \
  | 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: 79a31fcee0d3ab6ffe7f990b9ba632ffcb014fc88efed9021d99286f97f99512

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8a4bef306f196e5c00046d4f7c5c25c0c20d891bfe79fb60f6212f92695b7d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-24T12:11:58Z",
    "title_canon_sha256": "fcb3d955041a1634df3cdf357c2bcfadbea31cfccd7837661da6b95880ac485c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07542",
    "kind": "arxiv",
    "version": 1
  }
}