Pith Number

pith:AOBRRUDV

pith:2026:AOBRRUDV3CWG4E2XTQ2NBCY7GF

not attested not anchored not stored refs pending

Minimal Unital Cyclic $C_\infty$-Algebras and the Real and Rational Homotopy Type of Closed Manifolds

H\^ong V\^an L\^e

arxiv:2603.01219 v3 · 2026-03-01 · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOBRRUDV3CWG4E2XTQ2NBCY7GF}

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

2 papers in Pith

Empirical Hodge Laplacians: Spectral Convergence and Harmonic Forms from Point Clouds

Receipt and verification

First computed	2026-07-07T02:19:48.389400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

038318d075d8ac6e13579c34d08b1f3154dab8607a3e8eaff4295ac7ef43db68

Aliases

arxiv: 2603.01219 · arxiv_version: 2603.01219v3 · doi: 10.48550/arxiv.2603.01219 · pith_short_12: AOBRRUDV3CWG · pith_short_16: AOBRRUDV3CWG4E2X · pith_short_8: AOBRRUDV

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/AOBRRUDV3CWG4E2XTQ2NBCY7GF \
  | 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: 038318d075d8ac6e13579c34d08b1f3154dab8607a3e8eaff4295ac7ef43db68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8dd410a3c0c2ce61f666dcf3a555c152b82be80f8747fb123099a0412b67b54",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-03-01T18:32:23Z",
    "title_canon_sha256": "6e242811ade49027a4d0ebc64e3245b64c5822b8a4ce970d2555b9d2b2a58f7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.01219",
    "kind": "arxiv",
    "version": 3
  }
}