Pith Number

pith:X5VKQFNG

pith:2014:X5VKQFNG7SHZCMMK3MWNT34SGQ

not attested not anchored not stored refs pending

A multiplicity result for the nonlinear Klein Gordon Maxwell equations

Antonio Azzollini

arxiv:1407.1149 v2 · 2014-07-04 · 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{X5VKQFNG7SHZCMMK3MWNT34SGQ}

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	2026-05-18T02:31:20.918430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf6aa815a6fc8f91318adb2cd9ef92341855800efaaf80cda733af4cf8993ddd

Aliases

arxiv: 1407.1149 · arxiv_version: 1407.1149v2 · doi: 10.48550/arxiv.1407.1149 · pith_short_12: X5VKQFNG7SHZ · pith_short_16: X5VKQFNG7SHZCMMK · pith_short_8: X5VKQFNG

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/X5VKQFNG7SHZCMMK3MWNT34SGQ \
  | 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: bf6aa815a6fc8f91318adb2cd9ef92341855800efaaf80cda733af4cf8993ddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36c3d633fbf37aced162243ddf90f9dc946d8403e1208910e2647b7b6f9a3175",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-04T07:56:26Z",
    "title_canon_sha256": "867e4fcc8cd7428b647ff5f4b302ae79ea536036e5ae684801ac7773a5f8bf49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1149",
    "kind": "arxiv",
    "version": 2
  }
}