Pith Number

pith:46N3FHW2

pith:2010:46N3FHW2DVM3ZINAI2YO6QY3VA

not attested not anchored not stored refs pending

High-dimensional fillings in Heisenberg groups

Robert Young

arxiv:1006.1636 v2 · 2010-06-08 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46N3FHW2DVM3ZINAI2YO6QY3VA}

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	2026-05-18T03:42:34.165454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e79bb29eda1d59bca1a046b0ef431ba815cae82bd9cd69fe7f74180d957b4057

Aliases

arxiv: 1006.1636 · arxiv_version: 1006.1636v2 · doi: 10.48550/arxiv.1006.1636 · pith_short_12: 46N3FHW2DVM3 · pith_short_16: 46N3FHW2DVM3ZINA · pith_short_8: 46N3FHW2

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/46N3FHW2DVM3ZINAI2YO6QY3VA \
  | 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: e79bb29eda1d59bca1a046b0ef431ba815cae82bd9cd69fe7f74180d957b4057

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e18a250d99f233d3a7f239a5a2fbb37a6987ffde9747f3886fdc0b3a7c93ec0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-06-08T19:03:08Z",
    "title_canon_sha256": "bd891eb36ce9ca5573fa882d5df7884394eb56b24ad6241519064012f80e46a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1636",
    "kind": "arxiv",
    "version": 2
  }
}