Pith Number

pith:VBLMUHAS

pith:2014:VBLMUHAS5JPIS6HNTAJGURMYBF

not attested not anchored not stored refs pending

A degenerate fourth-order parabolic equation modeling Bose-Einstein condensation. Part II: Finite-time blow-up

Ansgar J\"ungel, Michael Winkler

arxiv:1401.0911 v1 · 2014-01-05 · 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{VBLMUHAS5JPIS6HNTAJGURMYBF}

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	2026-05-18T03:03:11.559412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a856ca1c12ea5e8978ed98126a4598097a845d8cb1fb052dc9e2d84579031bea

Aliases

arxiv: 1401.0911 · arxiv_version: 1401.0911v1 · doi: 10.48550/arxiv.1401.0911 · pith_short_12: VBLMUHAS5JPI · pith_short_16: VBLMUHAS5JPIS6HN · pith_short_8: VBLMUHAS

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/VBLMUHAS5JPIS6HNTAJGURMYBF \
  | 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: a856ca1c12ea5e8978ed98126a4598097a845d8cb1fb052dc9e2d84579031bea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d568b4049d942cf0113362732d0732679e947bc56249054e5ed48b2da92483",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-01-05T16:43:05Z",
    "title_canon_sha256": "4ba6f8a78a18dfa7510ea029fbbaef1c125329815dd00befaec4506db77bc7bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0911",
    "kind": "arxiv",
    "version": 1
  }
}