Pith Number

pith:VVHX7O2S

pith:2012:VVHX7O2SZIVAZQ5JLDMSJWTAJJ

not attested not anchored not stored refs pending

Geometric Langevin equations on submanifolds and applications to the stochastic melt-spinning process of nonwovens and biology

Martin Grothaus, Patrik Stilgenbauer

arxiv:1204.5695 v1 · 2012-04-25 · math.PR · 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{VVHX7O2SZIVAZQ5JLDMSJWTAJJ}

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	2026-05-18T01:23:39.281174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad4f7fbb52ca2a0cc3a958d924da604a64735c58eb72164b1801f286c714416f

Aliases

arxiv: 1204.5695 · arxiv_version: 1204.5695v1 · doi: 10.48550/arxiv.1204.5695 · pith_short_12: VVHX7O2SZIVA · pith_short_16: VVHX7O2SZIVAZQ5J · pith_short_8: VVHX7O2S

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/VVHX7O2SZIVAZQ5JLDMSJWTAJJ \
  | 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: ad4f7fbb52ca2a0cc3a958d924da604a64735c58eb72164b1801f286c714416f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cce07efd43370ad3aac208c1a3ca880cf909c629cad50073ef6df1a8fcdfe24a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-25T16:11:13Z",
    "title_canon_sha256": "654656828ac910f4fe1f673b80072a820f0baa25f14382fcfed17500afe56dad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5695",
    "kind": "arxiv",
    "version": 1
  }
}