Pith Number

pith:4YKIFMQA

pith:2011:4YKIFMQAPH6FBEJWVUZIK6EKEQ

not attested not anchored not stored refs pending

Extrinsic geometric flows on foliated manifolds, III

Vladimir Rovenski

arxiv:1108.5071 v2 · 2011-08-25 · 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{4YKIFMQAPH6FBEJWVUZIK6EKEQ}

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	2026-05-18T04:12:11.505514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e61482b20079fc509136ad3285788a2431e1e544ab2bebcb0adacb2b371229f7

Aliases

arxiv: 1108.5071 · arxiv_version: 1108.5071v2 · doi: 10.48550/arxiv.1108.5071 · pith_short_12: 4YKIFMQAPH6F · pith_short_16: 4YKIFMQAPH6FBEJW · pith_short_8: 4YKIFMQA

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/4YKIFMQAPH6FBEJWVUZIK6EKEQ \
  | 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: e61482b20079fc509136ad3285788a2431e1e544ab2bebcb0adacb2b371229f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95029a79530ab48996b42b7e5a9e90b16a08df91fb4971b89d3ac2abff6e5b87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-25T12:40:08Z",
    "title_canon_sha256": "80ffb026e730fb449931c6234abddb85161dcdc492d4888f075651e7035d25c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5071",
    "kind": "arxiv",
    "version": 2
  }
}