Pith Number

pith:SRDJ7SKI

pith:2007:SRDJ7SKISKYVZE6BJNM6QATI77

not attested not anchored not stored refs pending

A solution of a problem of Sophus Lie: Normal forms of 2-dim metrics admitting two projective vector fields

Gianni Manno, Robert L. Bryant, Vladimir S. Matveev

arxiv:0705.3592 v2 · 2007-05-24 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SRDJ7SKISKYVZE6BJNM6QATI77}

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	2026-05-18T04:16:12.394066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94469fc94892b15c93c14b59e80268ffd468d35f517377366616611d0c43c8e5

Aliases

arxiv: 0705.3592 · arxiv_version: 0705.3592v2 · doi: 10.48550/arxiv.0705.3592 · pith_short_12: SRDJ7SKISKYV · pith_short_16: SRDJ7SKISKYVZE6B · pith_short_8: SRDJ7SKI

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/SRDJ7SKISKYVZE6BJNM6QATI77 \
  | 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: 94469fc94892b15c93c14b59e80268ffd468d35f517377366616611d0c43c8e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66cd439e879c32d257cd62f14e11ffc9298e27e24715ed75c90672635df3c07d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-05-24T16:24:27Z",
    "title_canon_sha256": "ceb0e623a122d798948113429c07be5066c9c3452c515ad81a52237b1405c45c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.3592",
    "kind": "arxiv",
    "version": 2
  }
}