Pith Number

pith:3NOBJNC5

pith:2017:3NOBJNC5VXZ2Z6SZRPVHGOVIIK

not attested not anchored not stored refs pending

Blow-up profile of Bose-Einstein condensate with singular potentials

Thanh Viet Phan

arxiv:1707.07865 v1 · 2017-07-25 · 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{3NOBJNC5VXZ2Z6SZRPVHGOVIIK}

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	2026-05-18T00:39:30.073169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db5c14b45dadf3acfa598bea733aa842bf8f5848b6921e9cc404bf610775eb62

Aliases

arxiv: 1707.07865 · arxiv_version: 1707.07865v1 · doi: 10.48550/arxiv.1707.07865 · pith_short_12: 3NOBJNC5VXZ2 · pith_short_16: 3NOBJNC5VXZ2Z6SZ · pith_short_8: 3NOBJNC5

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/3NOBJNC5VXZ2Z6SZRPVHGOVIIK \
  | 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: db5c14b45dadf3acfa598bea733aa842bf8f5848b6921e9cc404bf610775eb62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f54b82289c8743d1799f83db3a55ec4a7624cc9995d85cee9144377588d441f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-25T09:25:39Z",
    "title_canon_sha256": "16a35bfec8e3248ec461d091e35d91b006c43470027517221c3d07b9531ea62c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07865",
    "kind": "arxiv",
    "version": 1
  }
}