Pith Number

pith:COQDX2VK

pith:2017:COQDX2VKT5CTFXSBGAABMMY6QF

not attested not anchored not stored refs pending

Stable minimal graphs in Heisenberg group $\mathbb{H}^n$

Giovanna Citti, Matteo Galli

arxiv:1701.06214 v1 · 2017-01-22 · 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{COQDX2VKT5CTFXSBGAABMMY6QF}

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	2026-05-18T00:52:18.983283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13a03beaaa9f4532de41300016331e81551919e1a01f85c60d0ff3fe569f09e5

Aliases

arxiv: 1701.06214 · arxiv_version: 1701.06214v1 · doi: 10.48550/arxiv.1701.06214 · pith_short_12: COQDX2VKT5CT · pith_short_16: COQDX2VKT5CTFXSB · pith_short_8: COQDX2VK

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/COQDX2VKT5CTFXSBGAABMMY6QF \
  | 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: 13a03beaaa9f4532de41300016331e81551919e1a01f85c60d0ff3fe569f09e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d47d4d2660fb4cbba76bc5794edfc26eaeec384d7c2dbf7e059ac2f3fae6560b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-01-22T19:59:37Z",
    "title_canon_sha256": "0681829831768b99f3a5ce53ab636b0301fa4cb7b7e6b577c429aca3060676ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06214",
    "kind": "arxiv",
    "version": 1
  }
}