Pith Number

pith:4HJ7SERQ

pith:2011:4HJ7SERQ72AMVBHCCR265JOGWG

not attested not anchored not stored refs pending

Deforming metrics of foliations

Robert Wolak, Vladimir Rovenski

arxiv:1109.1868 v3 · 2011-09-09 · 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{4HJ7SERQ72AMVBHCCR265JOGWG}

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	2026-05-18T01:23:39.331906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1d3f91230fe80ca84e21475eea5c6b1bfc9b0d5e72d9998c4afbb357d875f16

Aliases

arxiv: 1109.1868 · arxiv_version: 1109.1868v3 · doi: 10.48550/arxiv.1109.1868 · pith_short_12: 4HJ7SERQ72AM · pith_short_16: 4HJ7SERQ72AMVBHC · pith_short_8: 4HJ7SERQ

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/4HJ7SERQ72AMVBHCCR265JOGWG \
  | 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: e1d3f91230fe80ca84e21475eea5c6b1bfc9b0d5e72d9998c4afbb357d875f16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c894269caecd9f93d6db9a6d61ce243e2ab5d009124708808fa7cb94b26515e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-09T00:46:59Z",
    "title_canon_sha256": "a4a09728e17d9d2fb00e35f75dd2fb701a74b01edfe7e13bad9c0be2a4f879ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1868",
    "kind": "arxiv",
    "version": 3
  }
}