Pith Number

pith:SSEWZGHF

pith:2012:SSEWZGHFOS73HGCJSV2O4YZDLO

not attested not anchored not stored refs pending

Rate-independent dynamics and Kramers-type phase transitions in nonlocal Fokker-Planck equations with dynamical control

Barbara Niethammer, Juan J.L. Vel\'azquez, Michael Herrmann

arxiv:1212.3128 v2 · 2012-12-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSEWZGHFOS73HGCJSV2O4YZDLO}

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	2026-05-18T02:26:01.223668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94896c98e574bfb398499574ee63235bbd43284be38e06049b43e15e72bff9e7

Aliases

arxiv: 1212.3128 · arxiv_version: 1212.3128v2 · doi: 10.48550/arxiv.1212.3128 · pith_short_12: SSEWZGHFOS73 · pith_short_16: SSEWZGHFOS73HGCJ · pith_short_8: SSEWZGHF

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/SSEWZGHFOS73HGCJSV2O4YZDLO \
  | 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: 94896c98e574bfb398499574ee63235bbd43284be38e06049b43e15e72bff9e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7f7b93cf1c1cc5ac989ecfb634124216604cf091e578f464a15a83f97e9bb0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-13T11:09:14Z",
    "title_canon_sha256": "b517a5f949f138ac7b6a95f005ca3cd6351db2f072d2d2387f4b2ed0a080894b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3128",
    "kind": "arxiv",
    "version": 2
  }
}