Pith Number

pith:CQ7V33GD

pith:2013:CQ7V33GD5QRCLID5CBL2M6PWHW

not attested not anchored not stored refs pending

Smoothness of subRiemannian isometries

Enrico Le Donne, Luca Capogna

arxiv:1305.5286 v2 · 2013-05-22 · math.MG · math.AP · 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{CQ7V33GD5QRCLID5CBL2M6PWHW}

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	2026-05-18T02:57:52.931862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

143f5decc3ec2225a07d1057a679f63da03d341dae94cd8f14502b01526c8266

Aliases

arxiv: 1305.5286 · arxiv_version: 1305.5286v2 · doi: 10.48550/arxiv.1305.5286 · pith_short_12: CQ7V33GD5QRC · pith_short_16: CQ7V33GD5QRCLID5 · pith_short_8: CQ7V33GD

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/CQ7V33GD5QRCLID5CBL2M6PWHW \
  | 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: 143f5decc3ec2225a07d1057a679f63da03d341dae94cd8f14502b01526c8266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14130e1ec70336fcdf95c097089a1d86d999435ca6d35ece727a8c5b58e5079c",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-05-22T23:29:57Z",
    "title_canon_sha256": "b898898694483a5bd685e6244f443b2f96ff5507db1b5c0be490fc63233e6cd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5286",
    "kind": "arxiv",
    "version": 2
  }
}