Pith Number

pith:FV2PW2ZC

pith:2011:FV2PW2ZC75MBCQXZUVDBWVAX64

not attested not anchored not stored refs pending

Smooth density for some nilpotent rough differential equations

Samy Tindel (IECN), Yaozhong Hu

arxiv:1104.1972 v1 · 2011-04-11 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FV2PW2ZC75MBCQXZUVDBWVAX64}

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	2026-05-18T03:04:22.779693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d74fb6b22ff581142f9a5461b5417f71aeebb77bb707798f7b51d82570dd40f

Aliases

arxiv: 1104.1972 · arxiv_version: 1104.1972v1 · doi: 10.48550/arxiv.1104.1972 · pith_short_12: FV2PW2ZC75MB · pith_short_16: FV2PW2ZC75MBCQXZ · pith_short_8: FV2PW2ZC

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/FV2PW2ZC75MBCQXZUVDBWVAX64 \
  | 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: 2d74fb6b22ff581142f9a5461b5417f71aeebb77bb707798f7b51d82570dd40f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d21cde61d5ae77df69bd76bd4c129ddc06be2f8474abc79bd1afae08e03aa04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-11T15:12:11Z",
    "title_canon_sha256": "61b5bdb540f929c8c3b61e7377070d290c2b001f8c758a038e953cc0fc28e755"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1972",
    "kind": "arxiv",
    "version": 1
  }
}