Pith Number

pith:V7EXYPRF

pith:2011:V7EXYPRFMFSGWJ7REZXJK6ZCRZ

not attested not anchored not stored refs pending

Fine asymptotic geometry in the Heisenberg group

Christopher Mooney, Moon Duchin

arxiv:1106.5276 v2 · 2011-06-26 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7EXYPRFMFSGWJ7REZXJK6ZCRZ}

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	2026-05-18T04:16:53.239624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afc97c3e2561646b27f1266e957b228e52cb6779e029d21f4a52e0592c5bea7f

Aliases

arxiv: 1106.5276 · arxiv_version: 1106.5276v2 · doi: 10.48550/arxiv.1106.5276 · pith_short_12: V7EXYPRFMFSG · pith_short_16: V7EXYPRFMFSGWJ7R · pith_short_8: V7EXYPRF

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/V7EXYPRFMFSGWJ7REZXJK6ZCRZ \
  | 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: afc97c3e2561646b27f1266e957b228e52cb6779e029d21f4a52e0592c5bea7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c6e71942140e7aacaa6b192b5e47fb829d780ddebd44ab02bc89e71ffa3bcfe",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-06-26T22:30:59Z",
    "title_canon_sha256": "523153ba9f4b661ce1b20046791c86c44670fbb76db61333de5fe05ae9d7f874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5276",
    "kind": "arxiv",
    "version": 2
  }
}