Pith Number

pith:ZFY5XODA

pith:2013:ZFY5XODATJ6IK7AKFZD2GYGB4W

not attested not anchored not stored refs pending

On transforms of timelike isothermic surfaces in pseudo-Riemannian space forms

Peng Wang, Yuping Song

arxiv:1307.2515 v2 · 2013-07-09 · 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{ZFY5XODATJ6IK7AKFZD2GYGB4W}

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	2026-05-18T03:18:51.031649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c971dbb8609a7c857c0a2e47a360c1e5bbd79234e1dbc74ef44ad2b8fff0dc69

Aliases

arxiv: 1307.2515 · arxiv_version: 1307.2515v2 · doi: 10.48550/arxiv.1307.2515 · pith_short_12: ZFY5XODATJ6I · pith_short_16: ZFY5XODATJ6IK7AK · pith_short_8: ZFY5XODA

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/ZFY5XODATJ6IK7AKFZD2GYGB4W \
  | 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: c971dbb8609a7c857c0a2e47a360c1e5bbd79234e1dbc74ef44ad2b8fff0dc69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f39c676ad59c19fd003af67f562264fb3413078730b2354958ac8dab98fba286",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-09T16:50:17Z",
    "title_canon_sha256": "ab78b23b7ce5a65603a36d1d808b37cc73904e4c27b9f64c36fe53368248eabe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2515",
    "kind": "arxiv",
    "version": 2
  }
}