Pith Number

pith:PG4I42AA

pith:2013:PG4I42AAPNZU3XM4FIGEUWMM6J

not attested not anchored not stored refs pending

Hydrodynamic limit of the Gross-Pitaevskii equation

Daniel Spirn, Robert L. Jerrard

arxiv:1310.4558 v1 · 2013-10-17 · 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{PG4I42AAPNZU3XM4FIGEUWMM6J}

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	2026-05-18T03:10:13.768500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79b88e68007b734ddd9c2a0c4a598cf24244faeba9e0a260a86247ce3ac9ac39

Aliases

arxiv: 1310.4558 · arxiv_version: 1310.4558v1 · doi: 10.48550/arxiv.1310.4558 · pith_short_12: PG4I42AAPNZU · pith_short_16: PG4I42AAPNZU3XM4 · pith_short_8: PG4I42AA

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/PG4I42AAPNZU3XM4FIGEUWMM6J \
  | 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: 79b88e68007b734ddd9c2a0c4a598cf24244faeba9e0a260a86247ce3ac9ac39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44fdf8a3b2778265b2e20d94aac8b6fb7c58bf6f7ba59da09244566761aa2d60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-17T01:29:13Z",
    "title_canon_sha256": "f7ad7a1326041f14b707464c1342be1e8febd5a7edf477306f9dc9d4b562fd52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4558",
    "kind": "arxiv",
    "version": 1
  }
}