Pith Number

pith:624KRGRW

pith:2015:624KRGRWSVEVSYSJVT3OTCCRL3

not attested not anchored not stored refs pending

On coupled Schr\"odinger systems with double critical exponents and indefinite weights

Wenming Zou, Xuexiu Zhong

arxiv:1503.08917 v1 · 2015-03-31 · 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{624KRGRWSVEVSYSJVT3OTCCRL3}

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	2026-05-18T02:19:51.856698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6b8a89a369549596249acf6e988515ecc446a0cfedaa748214521319d4fb494

Aliases

arxiv: 1503.08917 · arxiv_version: 1503.08917v1 · doi: 10.48550/arxiv.1503.08917 · pith_short_12: 624KRGRWSVEV · pith_short_16: 624KRGRWSVEVSYSJ · pith_short_8: 624KRGRW

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/624KRGRWSVEVSYSJVT3OTCCRL3 \
  | 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: f6b8a89a369549596249acf6e988515ecc446a0cfedaa748214521319d4fb494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b58ee4b7d7231e47901eb965364cd028cbb6ca2816da3d166124ad0983a45a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-31T05:12:12Z",
    "title_canon_sha256": "845614824d4841a86608bb6d7a8be68d2b390e2a8f9fc23f6f46329889e5e5c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08917",
    "kind": "arxiv",
    "version": 1
  }
}