Pith Number

pith:5QZAXUJQ

pith:2015:5QZAXUJQSZEL5ZAX4DWSA7KQ4R

not attested not anchored not stored refs pending

Negative energy blowup results for the focusing Hartree hierarchy via identities of virial and localized virial type

Aynur Bulut

arxiv:1508.02701 v2 · 2015-08-11 · 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{5QZAXUJQSZEL5ZAX4DWSA7KQ4R}

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	2026-07-05T08:19:06.183169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec320bd1309648bee417e0ed207d50e45602c4386fe319632760c5cff4c82da3

Aliases

arxiv: 1508.02701 · arxiv_version: 1508.02701v2 · doi: 10.48550/arxiv.1508.02701 · pith_short_12: 5QZAXUJQSZEL · pith_short_16: 5QZAXUJQSZEL5ZAX · pith_short_8: 5QZAXUJQ

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/5QZAXUJQSZEL5ZAX4DWSA7KQ4R \
  | 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: ec320bd1309648bee417e0ed207d50e45602c4386fe319632760c5cff4c82da3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dda7535d1617478b842e0e7a9531920b081c5fa8d0bef17a6b1e339d1fd9c610",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-11T19:42:09Z",
    "title_canon_sha256": "78c427b0ebff30a2850d344e2d06e9acd18cd05c5a39395636873a699ab9389d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02701",
    "kind": "arxiv",
    "version": 2
  }
}