Pith Number

pith:UKDRMOBU

pith:2016:UKDRMOBUFVUWUOR55SWUMC5KAD

not attested not anchored not stored refs pending

Instabilities in the mean field limit

Daniel Han-Kwan, Toan T. Nguyen

arxiv:1601.03266 v2 · 2016-01-13 · 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{UKDRMOBUFVUWUOR55SWUMC5KAD}

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	2026-05-18T01:18:38.439018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2871638342d696a3a3decad460baa00c0263017bd63ee86bb56fb85abfbbd4a

Aliases

arxiv: 1601.03266 · arxiv_version: 1601.03266v2 · doi: 10.48550/arxiv.1601.03266 · pith_short_12: UKDRMOBUFVUW · pith_short_16: UKDRMOBUFVUWUOR5 · pith_short_8: UKDRMOBU

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/UKDRMOBUFVUWUOR55SWUMC5KAD \
  | 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: a2871638342d696a3a3decad460baa00c0263017bd63ee86bb56fb85abfbbd4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b2d8f03c73426b2c7671bd9ec6734641e4dba9c37eac721859b11b702dd5ddc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-13T14:34:28Z",
    "title_canon_sha256": "4e20686c76a0f61086f07f1b3c1cc47587f0f3957b1b50e8666587ec8f3115ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03266",
    "kind": "arxiv",
    "version": 2
  }
}