Pith Number

pith:47MNMAAO

pith:2013:47MNMAAOCH5XQOMPGJLMRBVLT2

not attested not anchored not stored refs pending

Classification of minimal Lorentz surfaces in indefinite space forms with arbitrary codimension and arbitrary index

Bang-Yen Chen

arxiv:1307.3969 v1 · 2013-07-15 · 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{47MNMAAOCH5XQOMPGJLMRBVLT2}

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	2026-05-18T03:18:27.327289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7d8d6000e11fb78398f3256c886ab9e8cb212248e131196236e9409b9195127

Aliases

arxiv: 1307.3969 · arxiv_version: 1307.3969v1 · doi: 10.48550/arxiv.1307.3969 · pith_short_12: 47MNMAAOCH5X · pith_short_16: 47MNMAAOCH5XQOMP · pith_short_8: 47MNMAAO

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/47MNMAAOCH5XQOMPGJLMRBVLT2 \
  | 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: e7d8d6000e11fb78398f3256c886ab9e8cb212248e131196236e9409b9195127

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccf767bf73134635c7a63f78dad4b1357d5870a8372e5c0785c477ea2007ab2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-15T14:46:08Z",
    "title_canon_sha256": "a1d622170550f4c4999c6a3651c484035907367730a0063699a540a5d6e983df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3969",
    "kind": "arxiv",
    "version": 1
  }
}