Pith Number

pith:RLGRUB5Z

pith:2011:RLGRUB5ZXCFAXB4W5GTWP2VDHA

not attested not anchored not stored refs pending

On conformal surfaces of annulus type

Yong Luo

arxiv:1110.5357 v4 · 2011-10-24 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RLGRUB5ZXCFAXB4W5GTWP2VDHA}

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	2026-05-18T04:06:54.724399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8acd1a07b9b88a0b8796e9a767eaa3382b6cb4f57eb250320c6791f2ab898c36

Aliases

arxiv: 1110.5357 · arxiv_version: 1110.5357v4 · doi: 10.48550/arxiv.1110.5357 · pith_short_12: RLGRUB5ZXCFA · pith_short_16: RLGRUB5ZXCFAXB4W · pith_short_8: RLGRUB5Z

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/RLGRUB5ZXCFAXB4W5GTWP2VDHA \
  | 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: 8acd1a07b9b88a0b8796e9a767eaa3382b6cb4f57eb250320c6791f2ab898c36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10d6b8050450466b0674a48068c6a709f49d99f900b5aa64d0e015ef92b24cac",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-24T21:21:02Z",
    "title_canon_sha256": "d4d5adb5eed77f48621463c4b1edca5b8fd51fab2efede2971b91ff585617d7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5357",
    "kind": "arxiv",
    "version": 4
  }
}