Pith Number

pith:P3AQWOVC

pith:2013:P3AQWOVCP5G54SJTBPNNYRDC6R

not attested not anchored not stored refs pending

Existence of steady states for the Maxwell-Schr\"odinger-Poisson system: exploring the applicability of the concentration-compactness principle

Isabelle Catto (CEREMADE), Jean Dolbeault (CEREMADE), Juan Soler, \'Oscar S\'anchez

arxiv:1306.3699 v1 · 2013-06-16 · 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{P3AQWOVCP5G54SJTBPNNYRDC6R}

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	2026-05-18T03:20:46.719385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ec10b3aa27f4dde49330bdadc4462f46228ef756236aadf0055de8797cd9e0a

Aliases

arxiv: 1306.3699 · arxiv_version: 1306.3699v1 · doi: 10.48550/arxiv.1306.3699 · pith_short_12: P3AQWOVCP5G5 · pith_short_16: P3AQWOVCP5G54SJT · pith_short_8: P3AQWOVC

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/P3AQWOVCP5G54SJTBPNNYRDC6R \
  | 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: 7ec10b3aa27f4dde49330bdadc4462f46228ef756236aadf0055de8797cd9e0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e0abfe9a94010edca37547d9af659eeaa877c68d610e643fb85567e09dd4a4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-16T19:05:43Z",
    "title_canon_sha256": "4029f7f38adac5c8724364bf908381a4064a01da845d3e9d0806b118bda01d3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3699",
    "kind": "arxiv",
    "version": 1
  }
}