Pith Number

pith:MXEDFGW7

pith:2011:MXEDFGW7UVPYCNDRJLNK4MZ4IS

not attested not anchored not stored refs pending

Regularity of minimal intrinsic graphs in 3 dimensional sub-Riemannian structures of step 2

Davide Barbieri, Giovanna Citti

arxiv:1111.0666 v1 · 2011-11-02 · math.AP · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXEDFGW7UVPYCNDRJLNK4MZ4IS}

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	2026-05-18T04:09:37.194770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65c8329adfa55f8134714adaae333c449deee0d316a3783df79e921e1caaa10a

Aliases

arxiv: 1111.0666 · arxiv_version: 1111.0666v1 · doi: 10.48550/arxiv.1111.0666 · pith_short_12: MXEDFGW7UVPY · pith_short_16: MXEDFGW7UVPYCNDR · pith_short_8: MXEDFGW7

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/MXEDFGW7UVPYCNDRJLNK4MZ4IS \
  | 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: 65c8329adfa55f8134714adaae333c449deee0d316a3783df79e921e1caaa10a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "344e98760ca7203bdb5062206d8c0e5537e5ae1db9ea875939204a27c6590c5d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-02T21:07:08Z",
    "title_canon_sha256": "a25a9bba49eceb30121ccb05e37e45dbe4f209269680744336ad5df1bca8b65e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0666",
    "kind": "arxiv",
    "version": 1
  }
}