Pith Number

pith:6SFQ2KX6

pith:2011:6SFQ2KX6YMGXCQ35CK46JRGFFB

not attested not anchored not stored refs pending

Kramers and non-Kramers Phase Transitions in Many-Particle Systems with Dynamical Constraint

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

arxiv:1110.3518 v1 · 2011-10-16 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SFQ2KX6YMGXCQ35CK46JRGFFB}

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	2026-05-18T03:28:54.161505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f48b0d2afec30d71437d12b9e4c4c5284075b5ed238c7e7abe37da58c7b4c1bb

Aliases

arxiv: 1110.3518 · arxiv_version: 1110.3518v1 · doi: 10.48550/arxiv.1110.3518 · pith_short_12: 6SFQ2KX6YMGX · pith_short_16: 6SFQ2KX6YMGXCQ35 · pith_short_8: 6SFQ2KX6

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/6SFQ2KX6YMGXCQ35CK46JRGFFB \
  | 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: f48b0d2afec30d71437d12b9e4c4c5284075b5ed238c7e7abe37da58c7b4c1bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f1e29118fb14721e65dc52682f140dc62d23d6c3ea5f59ee7103088a24c273e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-16T19:26:49Z",
    "title_canon_sha256": "5264d52bfc6e935f11dd2623c7213979defc0c5de0c8409c7b2557d4106fbed6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3518",
    "kind": "arxiv",
    "version": 1
  }
}