Pith Number

pith:MMH67IUB

pith:2010:MMH67IUBTFAYE74QLQFCYQJTJK

not attested not anchored not stored refs pending

Integrable embeddings and foliations

Daniel Peralta-Salas, Gilbert Hector

arxiv:1012.4312 v1 · 2010-12-20 · math.DG · math.DS · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMH67IUBTFAYE74QLQFCYQJTJK}

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	2026-05-18T04:32:55.043151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

630fefa2819941827f905c0a2c41334a837c899d375fe4046bb3b8517226184a

Aliases

arxiv: 1012.4312 · arxiv_version: 1012.4312v1 · doi: 10.48550/arxiv.1012.4312 · pith_short_12: MMH67IUBTFAY · pith_short_16: MMH67IUBTFAYE74Q · pith_short_8: MMH67IUB

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/MMH67IUBTFAYE74QLQFCYQJTJK \
  | 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: 630fefa2819941827f905c0a2c41334a837c899d375fe4046bb3b8517226184a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "326c43b7c087e59bc790404e6f77b77a766389f508053a672831eeaa5b8da120",
    "cross_cats_sorted": [
      "math.DS",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-20T12:57:13Z",
    "title_canon_sha256": "f6530b92fe25c2f2a2bb0465f7e5d02041c50c3c64534da79700698fd8b09653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4312",
    "kind": "arxiv",
    "version": 1
  }
}