Pith Number

pith:CMTEOBIV

pith:2012:CMTEOBIVIFKBYVGX2XWSIWLGRI

not attested not anchored not stored refs pending

Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation

Francesco Bigolin, Francesco Serra Cassano, Laura Caravenna

arxiv:1202.3083 v2 · 2012-02-14 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMTEOBIVIFKBYVGX2XWSIWLGRI}

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	2026-05-18T01:30:26.214294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

132647051541541c54d7d5ed2459668a38ef786c05672efffdba22b4cae00ccc

Aliases

arxiv: 1202.3083 · arxiv_version: 1202.3083v2 · doi: 10.48550/arxiv.1202.3083 · pith_short_12: CMTEOBIVIFKB · pith_short_16: CMTEOBIVIFKBYVGX · pith_short_8: CMTEOBIV

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/CMTEOBIVIFKBYVGX2XWSIWLGRI \
  | 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: 132647051541541c54d7d5ed2459668a38ef786c05672efffdba22b4cae00ccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2d717a2100c4e8cb42497d5e94f022e01f35163d235b9b7419f574f09f78fa7",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-02-14T16:40:37Z",
    "title_canon_sha256": "73fab3b65c6c87eae41fabfa25fdb0833a7c337ce617428a7c557b8af5bad8ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3083",
    "kind": "arxiv",
    "version": 2
  }
}