Pith Number

pith:H64MLB65

pith:2010:H64MLB6547MK4C4GI6OOYEEH7N

not attested not anchored not stored refs pending

Nilspaces, nilmanifolds and their morphisms

Balazs Szegedy, Omar Antolin Camarena

arxiv:1009.3825 v3 · 2010-09-20 · math.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H64MLB6547MK4C4GI6OOYEEH7N}

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.

Cited by

1 paper in Pith

Duality, Reconstruction, and Structural Toolkit Theorems in Algebraic Phase Theory

Receipt and verification

First computed	2026-05-18T03:53:54.883406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fb8c587dde7d8ae0b86479cec1087fb51b6bdc0d3c7adfbf4450e3a9b74215d

Aliases

arxiv: 1009.3825 · arxiv_version: 1009.3825v3 · doi: 10.48550/arxiv.1009.3825 · pith_short_12: H64MLB6547MK · pith_short_16: H64MLB6547MK4C4G · pith_short_8: H64MLB65

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/H64MLB6547MK4C4GI6OOYEEH7N \
  | 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: 3fb8c587dde7d8ae0b86479cec1087fb51b6bdc0d3c7adfbf4450e3a9b74215d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c523563b5121e92138f3d9678ddc99703165bf5f3c272aff4744745daecc9d3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-20T14:05:59Z",
    "title_canon_sha256": "c1734c1ae152711b7283615a4afbcc100b1242e717620f83a2e9729e04c793df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3825",
    "kind": "arxiv",
    "version": 3
  }
}