Pith Number

pith:QXBTCPK4

pith:2011:QXBTCPK4OD2IZWDLXVBBIVERCF

not attested not anchored not stored refs pending

Constant Angle Surfaces in $\mathbb{S}^3(1) \times \mathbb{R}$

Daguang Chen, Franki Dillen, Gangyi Chen, Hang Chen

arxiv:1105.0503 v1 · 2011-05-03 · 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{QXBTCPK4OD2IZWDLXVBBIVERCF}

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	2026-05-18T04:23:11.177193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85c3313d5c70f48cd86bbd42145491117e4e33fe52d8e14c8c6e41c94ba76190

Aliases

arxiv: 1105.0503 · arxiv_version: 1105.0503v1 · doi: 10.48550/arxiv.1105.0503 · pith_short_12: QXBTCPK4OD2I · pith_short_16: QXBTCPK4OD2IZWDL · pith_short_8: QXBTCPK4

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/QXBTCPK4OD2IZWDLXVBBIVERCF \
  | 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: 85c3313d5c70f48cd86bbd42145491117e4e33fe52d8e14c8c6e41c94ba76190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc00e54c0966f873508b232de2d22edd680c5301ab849239fb95b5dba16a649f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-05-03T07:52:19Z",
    "title_canon_sha256": "6014fa9f54fb4e4f8d4a91972b5f16df3bfa3e25b7219ef849806356973544a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0503",
    "kind": "arxiv",
    "version": 1
  }
}