Pith Number

pith:HFXQJGOO

pith:2012:HFXQJGOOPRGBUFWDOIVM3SZWGD

not attested not anchored not stored refs pending

Extremal curves in nilpotent Lie groups

Davide Vittone, Enrico Le Donne, Gian Paolo Leonardi, Roberto Monti

arxiv:1207.3985 v2 · 2012-07-17 · math.DG · math.AP · math.GR · math.MG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFXQJGOOPRGBUFWDOIVM3SZWGD}

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	2026-05-18T03:18:06.376056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

396f0499ce7c4c1a16c3722acdcb3630d215866482b7d12a860fc727eda23bdb

Aliases

arxiv: 1207.3985 · arxiv_version: 1207.3985v2 · doi: 10.48550/arxiv.1207.3985 · pith_short_12: HFXQJGOOPRGB · pith_short_16: HFXQJGOOPRGBUFWD · pith_short_8: HFXQJGOO

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/HFXQJGOOPRGBUFWDOIVM3SZWGD \
  | 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: 396f0499ce7c4c1a16c3722acdcb3630d215866482b7d12a860fc727eda23bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59b3f37c937ab3fd52fa99099176342a0aada3774da637e75a7e9c0e406085fe",
    "cross_cats_sorted": [
      "math.AP",
      "math.GR",
      "math.MG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-17T13:23:59Z",
    "title_canon_sha256": "153fe431496ec079346d34ed0792e28ff62b00f313d407b40a4f3933a1d139fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3985",
    "kind": "arxiv",
    "version": 2
  }
}