Pith Number

pith:YXP2A5J2

pith:2012:YXP2A5J2V2KFDN2YPXKRAGPUDU

not attested not anchored not stored refs pending

Necessary and sufficient conditions for two dimensional $(\alpha,\beta)$-metrics with reversible geodesics

Hideo Shimada, Ioana M. Masca, Sorin V. Sabau

arxiv:1203.1377 v1 · 2012-03-07 · 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{YXP2A5J2V2KFDN2YPXKRAGPUDU}

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	2026-05-18T04:00:38.842288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5dfa0753aae9451b7587dd51019f41d20f9977237c9c20293162fb6e1ed8291

Aliases

arxiv: 1203.1377 · arxiv_version: 1203.1377v1 · doi: 10.48550/arxiv.1203.1377 · pith_short_12: YXP2A5J2V2KF · pith_short_16: YXP2A5J2V2KFDN2Y · pith_short_8: YXP2A5J2

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/YXP2A5J2V2KFDN2YPXKRAGPUDU \
  | 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: c5dfa0753aae9451b7587dd51019f41d20f9977237c9c20293162fb6e1ed8291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca07dae774187737c371fd04900ae2d56e2ed899fa81fd209637d377da8b2007",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-07T04:25:21Z",
    "title_canon_sha256": "4f973ddd2984ba483877741478d2fe4eb39819b3b148d2c6cd212c87fcd35382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1377",
    "kind": "arxiv",
    "version": 1
  }
}