Pith Number

pith:3E2LN5RP

pith:2015:3E2LN5RPUPPXCWHZZNBTI6G2KO

not attested not anchored not stored refs pending

Surfaces of revolution satisfying $\triangle^{III}\boldsymbol{x}=A\boldsymbol{x}$

Hassan Al-Zoubi, Stylianos Stamatakis

arxiv:1510.08479 v1 · 2015-10-28 · 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{3E2LN5RPUPPXCWHZZNBTI6G2KO}

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	2026-05-18T01:19:01.815183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d934b6f62fa3df7158f9cb433478da53a881ac0c271d4bc880ab1a233807b810

Aliases

arxiv: 1510.08479 · arxiv_version: 1510.08479v1 · doi: 10.48550/arxiv.1510.08479 · pith_short_12: 3E2LN5RPUPPX · pith_short_16: 3E2LN5RPUPPXCWHZ · pith_short_8: 3E2LN5RP

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/3E2LN5RPUPPXCWHZZNBTI6G2KO \
  | 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: d934b6f62fa3df7158f9cb433478da53a881ac0c271d4bc880ab1a233807b810

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f40dd50292fb94d51d1c1877bf0eaf145531906c303cc17f7976b8f2ff90fb02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-28T20:32:47Z",
    "title_canon_sha256": "f83b3e4c9ca5ef96dbd26cad2cf09a6022b0f86ebdefb0d4c8e09deafd03f3c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08479",
    "kind": "arxiv",
    "version": 1
  }
}