Pith Number

pith:RURJKIGL

pith:2019:RURJKIGLKROSXDAQUBNSJFY67D

not attested not anchored not stored refs pending

Minimal Entropy of $3$-manifolds

Erika Pieroni

arxiv:1902.09190 v1 · 2019-02-25 · math.DG · math.GT · 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{RURJKIGLKROSXDAQUBNSJFY67D}

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

Topological volumes of certain complete affine manifolds

Receipt and verification

First computed	2026-05-17T23:52:46.440609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d229520cb545d2b8c10a05b24971ef8d74da81fcf2bb44bd5e0a5a1b2389fb7

Aliases

arxiv: 1902.09190 · arxiv_version: 1902.09190v1 · doi: 10.48550/arxiv.1902.09190 · pith_short_12: RURJKIGLKROS · pith_short_16: RURJKIGLKROSXDAQ · pith_short_8: RURJKIGL

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/RURJKIGLKROSXDAQUBNSJFY67D \
  | 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: 8d229520cb545d2b8c10a05b24971ef8d74da81fcf2bb44bd5e0a5a1b2389fb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c6f64dfb56454f9579585cd57e74a0fb22f33d96398a76e69b2852de110716a",
    "cross_cats_sorted": [
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-02-25T10:51:57Z",
    "title_canon_sha256": "e693032af9d4eb2874669eeab791b933af60ebf1e1328be261401e684c085c93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.09190",
    "kind": "arxiv",
    "version": 1
  }
}