Pith Number

pith:B5ERWLHZ

pith:2018:B5ERWLHZM4FPJSKRMU4YG3MG7E

not attested not anchored not stored refs pending

Blow-up profile of the focusing Gross-Pitaevskii minimizer under self-gravitating effect

Thanh Viet Phan

arxiv:1808.08909 v1 · 2018-08-27 · 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{B5ERWLHZM4FPJSKRMU4YG3MG7E}

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	2026-05-18T00:07:12.853760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f491b2cf9670af4c9516539836d86f90697925d0174d60500ae3de8a4d38842

Aliases

arxiv: 1808.08909 · arxiv_version: 1808.08909v1 · doi: 10.48550/arxiv.1808.08909 · pith_short_12: B5ERWLHZM4FP · pith_short_16: B5ERWLHZM4FPJSKR · pith_short_8: B5ERWLHZ

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/B5ERWLHZM4FPJSKRMU4YG3MG7E \
  | 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: 0f491b2cf9670af4c9516539836d86f90697925d0174d60500ae3de8a4d38842

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8814cc1ec0247549c1b1b182116ff9c76840ca3521c779f4e67bf868837d937",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-08-27T16:26:07Z",
    "title_canon_sha256": "a3b7e189e0df3cb5dd8407583967c4c2a7d1f66df7f2e8472fdd29a8e9d3cf0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08909",
    "kind": "arxiv",
    "version": 1
  }
}