Pith Number

pith:UBLB43HQ

pith:2026:UBLB43HQWZ2G3PLRVMU4FDYTGG

not attested not anchored not stored refs pending

Basic invariants for time-like surfaces in $\mathbb R^3_1$ with real asymptotic lines

Ognian Kassabov

arxiv:2605.24444 v1 · 2026-05-23 · 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{UBLB43HQWZ2G3PLRVMU4FDYTGG}

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	2026-05-26T01:03:39.969276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0561e6cf0b6746dbd71ab29c28f13319af78d11b5da893c08a4ec1a20473cf4

Aliases

arxiv: 2605.24444 · arxiv_version: 2605.24444v1 · doi: 10.48550/arxiv.2605.24444 · pith_short_12: UBLB43HQWZ2G · pith_short_16: UBLB43HQWZ2G3PLR · pith_short_8: UBLB43HQ

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/UBLB43HQWZ2G3PLRVMU4FDYTGG \
  | 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: a0561e6cf0b6746dbd71ab29c28f13319af78d11b5da893c08a4ec1a20473cf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24bbbc17f91ca602def5cf848799c4672f569b27b0013bf34e547d5e0ae26c1c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-23T07:31:29Z",
    "title_canon_sha256": "7ae9385ce03beac06fa680b039ba42259ca96289f660cb83ec6c2ab3983a7e87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24444",
    "kind": "arxiv",
    "version": 1
  }
}