Pith Number

pith:TFDPIDKK

pith:2016:TFDPIDKKXPM52TJHOUFJ6VLHC3

not attested not anchored not stored refs pending

A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects

Aleks Jevnikar, Wen Yang

arxiv:1605.08560 v1 · 2016-05-27 · 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{TFDPIDKKXPM52TJHOUFJ6VLHC3}

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	2026-05-17T23:48:57.534803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9946f40d4abbd9dd4d27750a9f556716f9f7668201cda05344f956e5330ca4eb

Aliases

arxiv: 1605.08560 · arxiv_version: 1605.08560v1 · doi: 10.48550/arxiv.1605.08560 · pith_short_12: TFDPIDKKXPM5 · pith_short_16: TFDPIDKKXPM52TJH · pith_short_8: TFDPIDKK

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/TFDPIDKKXPM52TJHOUFJ6VLHC3 \
  | 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: 9946f40d4abbd9dd4d27750a9f556716f9f7668201cda05344f956e5330ca4eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "513231faea0be19656ca76df89417e2c1800e44fe2be4ed05bb13e026c55c726",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-27T09:43:53Z",
    "title_canon_sha256": "17d6a630e9ca9f1960a6d1848ea33e58b15eabf10b68a6b3ae656e230672c3b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08560",
    "kind": "arxiv",
    "version": 1
  }
}