Pith Number

pith:KH5VLMBP

pith:2018:KH5VLMBPTMBMSOOGG4HPX3GWM2

not attested not anchored not stored refs pending

On class A Lorentzian 2-tori with poles II: Foliations by timelike lines

Liang Jin, Lu Peng, Xiaojun Cui

arxiv:1811.11342 v1 · 2018-11-28 · math.DS · 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{KH5VLMBPTMBMSOOGG4HPX3GWM2}

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	2026-05-17T23:59:44.152943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51fb55b02f9b02c939c6370efbecd6669c5c348ab6f99e2cb48bd57a967d39cc

Aliases

arxiv: 1811.11342 · arxiv_version: 1811.11342v1 · doi: 10.48550/arxiv.1811.11342 · pith_short_12: KH5VLMBPTMBM · pith_short_16: KH5VLMBPTMBMSOOG · pith_short_8: KH5VLMBP

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/KH5VLMBPTMBMSOOGG4HPX3GWM2 \
  | 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: 51fb55b02f9b02c939c6370efbecd6669c5c348ab6f99e2cb48bd57a967d39cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "818cdaf2bc2fbd067d8286b61846ee4652abb24b7a6777dff1c5dfe0a6ab3859",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-11-28T01:51:33Z",
    "title_canon_sha256": "a10d40d06c9732552bb74a7d46ea32f4ab19228769d3f2298cd9914772c1730f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11342",
    "kind": "arxiv",
    "version": 1
  }
}