Pith Number

pith:T6FI43EK

pith:2016:T6FI43EKID6C7WBUTNFBT4RB4L

not attested not anchored not stored refs pending

The Heisenberg group acts on a strictly convex domain

Daryl Cooper

arxiv:1608.03219 v1 · 2016-08-10 · 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{T6FI43EKID6C7WBUTNFBT4RB4L}

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	2026-05-18T01:09:30.001788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f8a8e6c8a40fc2fd8349b4a19f221e2c89915d41738041bdd104923e594786c

Aliases

arxiv: 1608.03219 · arxiv_version: 1608.03219v1 · doi: 10.48550/arxiv.1608.03219 · pith_short_12: T6FI43EKID6C · pith_short_16: T6FI43EKID6C7WBU · pith_short_8: T6FI43EK

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/T6FI43EKID6C7WBUTNFBT4RB4L \
  | 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: 9f8a8e6c8a40fc2fd8349b4a19f221e2c89915d41738041bdd104923e594786c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d1fa23378f2e0ddaad5c1c0abaadf071efd3ade455d70030c782fb0f0c7fac9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-08-10T15:52:55Z",
    "title_canon_sha256": "d3f56da9144212c554954e010c6f0bd116e5c70e8fac56a56a899ff695284d05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03219",
    "kind": "arxiv",
    "version": 1
  }
}