Pith Number

pith:X57WBDLM

pith:2016:X57WBDLMNZ37BOCMJYB7O64FV2

not attested not anchored not stored refs pending

Molino's description and foliated homogeneity

Jes\'us A. \'Alvarez L\'opez, Ram\'on Barral Lij\'o

arxiv:1610.07682 v5 · 2016-10-24 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X57WBDLMNZ37BOCMJYB7O64FV2}

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	2026-05-17T23:48:07.016119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf7f608d6c6e77f0b84c4e03f77b85ae957b1c30065c2d85d9e4ead7f698149a

Aliases

arxiv: 1610.07682 · arxiv_version: 1610.07682v5 · doi: 10.48550/arxiv.1610.07682 · pith_short_12: X57WBDLMNZ37 · pith_short_16: X57WBDLMNZ37BOCM · pith_short_8: X57WBDLM

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/X57WBDLMNZ37BOCMJYB7O64FV2 \
  | 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: bf7f608d6c6e77f0b84c4e03f77b85ae957b1c30065c2d85d9e4ead7f698149a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "511253caf4fc522bd14d58db78c070c5908bc7b8807039dc0861c941e9ddac80",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-24T23:49:40Z",
    "title_canon_sha256": "6775ddb1c6309001a06e3803d7e6856870bf19b12e3f26e416d4941384bffe65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07682",
    "kind": "arxiv",
    "version": 5
  }
}