Pith Number

pith:WPMMS3KG

pith:2010:WPMMS3KGBIDEJPZFAXBYURQYUY

not attested not anchored not stored refs pending

Non-degenerate surfaces of revolution in Minkowski space that satisfy the relation $aH+bK=c$

Derya Saglam, \"Ozg\"ur Boyac{\i}o\u{g}lu Kalkan, Rafael L\'opez

arxiv:1003.4554 v1 · 2010-03-23 · 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{WPMMS3KGBIDEJPZFAXBYURQYUY}

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	2026-05-18T01:09:24.101399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3d8c96d460a0644bf2505c38a4618a6193f44dec94e1d1cf21f13973e8e860b

Aliases

arxiv: 1003.4554 · arxiv_version: 1003.4554v1 · doi: 10.48550/arxiv.1003.4554 · pith_short_12: WPMMS3KGBIDE · pith_short_16: WPMMS3KGBIDEJPZF · pith_short_8: WPMMS3KG

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/WPMMS3KGBIDEJPZFAXBYURQYUY \
  | 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: b3d8c96d460a0644bf2505c38a4618a6193f44dec94e1d1cf21f13973e8e860b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ddfdefa58fd35681786d4a8e78db013be0168ad899d4d4780b862f9b0446ac1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-03-23T23:07:36Z",
    "title_canon_sha256": "191cecd6625655ca351713df100c49ae04f61dea9918f44069ba871f3e6c83f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4554",
    "kind": "arxiv",
    "version": 1
  }
}