Pith Number

pith:HZAIPENX

pith:2012:HZAIPENXZ7LDWIWO24UU7OZB27

not attested not anchored not stored refs pending

Some properties of H\"older surfaces in the Heisenberg group

Enrico Le Donne, Roger Z\"ust

arxiv:1205.0228 v1 · 2012-05-01 · math.MG · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZAIPENXZ7LDWIWO24UU7OZB27}

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	2026-05-18T03:56:35.597595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e408791b7cfd63b22ced7294fbb21d7de5ccece0414a9d2fe93abd3c484aebc

Aliases

arxiv: 1205.0228 · arxiv_version: 1205.0228v1 · doi: 10.48550/arxiv.1205.0228 · pith_short_12: HZAIPENXZ7LD · pith_short_16: HZAIPENXZ7LDWIWO · pith_short_8: HZAIPENX

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/HZAIPENXZ7LDWIWO24UU7OZB27 \
  | 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: 3e408791b7cfd63b22ced7294fbb21d7de5ccece0414a9d2fe93abd3c484aebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4de649ac726ed268223b7c1c68524f20aefbd11a19d822f8a30c7ada77a61663",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-05-01T18:34:50Z",
    "title_canon_sha256": "654303adc5fb23f7e7ab1f1c370d5524c42c4c669dbd90873d9f8cf33fd7d2fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0228",
    "kind": "arxiv",
    "version": 1
  }
}