Pith Number

pith:DDKDQ4GT

pith:2012:DDKDQ4GT5IBJRYS472SCFS4PPQ

not attested not anchored not stored refs pending

On the representation of maps by Lie transforms

Antonio Giorgilli

arxiv:1211.5674 v2 · 2012-11-24 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DDKDQ4GT5IBJRYS472SCFS4PPQ}

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	2026-05-18T03:29:37.460605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18d43870d3ea0298e25cfea422cb8f7c2157b88b82b7bf296eda8e6e73315f87

Aliases

arxiv: 1211.5674 · arxiv_version: 1211.5674v2 · doi: 10.48550/arxiv.1211.5674 · pith_short_12: DDKDQ4GT5IBJ · pith_short_16: DDKDQ4GT5IBJRYS4 · pith_short_8: DDKDQ4GT

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/DDKDQ4GT5IBJRYS472SCFS4PPQ \
  | 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: 18d43870d3ea0298e25cfea422cb8f7c2157b88b82b7bf296eda8e6e73315f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8fc4fd2dcefab10327fade04a7874555a99adcf255c9aaa43010f30730eb90b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-24T14:19:45Z",
    "title_canon_sha256": "06a70c5861e2b1db5b118687927f3b94253d22f508d75c85a9084dcfdf913355"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5674",
    "kind": "arxiv",
    "version": 2
  }
}