Pith Number

pith:ZYRTPCH4

pith:2012:ZYRTPCH4A7MUXQWHJCKVSAR2IM

not attested not anchored not stored refs pending

On smoothness of timelike maximal cylinders in three dimensional vacuum spacetimes

Gang Tian, Luc Nguyen

arxiv:1201.5183 v2 · 2012-01-25 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYRTPCH4A7MUXQWHJCKVSAR2IM}

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	2026-05-18T02:40:18.987612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce233788fc07d94bc2c7489559023a432511b5725eeac77ca47bbe0758ad9be3

Aliases

arxiv: 1201.5183 · arxiv_version: 1201.5183v2 · doi: 10.48550/arxiv.1201.5183 · pith_short_12: ZYRTPCH4A7MU · pith_short_16: ZYRTPCH4A7MUXQWH · pith_short_8: ZYRTPCH4

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/ZYRTPCH4A7MUXQWHJCKVSAR2IM \
  | 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: ce233788fc07d94bc2c7489559023a432511b5725eeac77ca47bbe0758ad9be3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de10784b289567ff63426a2c5704ca0f7ce89377d311241d922379e68eb1754",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-01-25T05:14:05Z",
    "title_canon_sha256": "9c713a1861d48f0e653c1438f20a931bd01d46a6eeee7dc055dca7c3fddaa3d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5183",
    "kind": "arxiv",
    "version": 2
  }
}