Pith Number

pith:33DS5DEM

pith:2016:33DS5DEMFKG3NP5P6RAFEJ54SJ

not attested not anchored not stored refs pending

Negative energy ground states for the $L^2$-critical NLSE on metric graphs

Enrico Serra, Paolo Tilli, Riccardo Adami

arxiv:1605.07666 v1 · 2016-05-24 · math-ph · math.AP · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33DS5DEMFKG3NP5P6RAFEJ54SJ}

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	2026-05-18T00:54:36.411881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dec72e8c8c2a8db6bfaff4405227bc926c7c0d7d2e986d6ea31d1be0b0a08503

Aliases

arxiv: 1605.07666 · arxiv_version: 1605.07666v1 · doi: 10.48550/arxiv.1605.07666 · pith_short_12: 33DS5DEMFKG3 · pith_short_16: 33DS5DEMFKG3NP5P · pith_short_8: 33DS5DEM

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/33DS5DEMFKG3NP5P6RAFEJ54SJ \
  | 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: dec72e8c8c2a8db6bfaff4405227bc926c7c0d7d2e986d6ea31d1be0b0a08503

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19b561897580de5c57b1b678102b06176d455155687fa3102daacd4c0d70de7e",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-05-24T21:48:03Z",
    "title_canon_sha256": "9b936dfde7f38b89dd2ef326cab0641b08f4f4635b5812b10d829318c3a715a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07666",
    "kind": "arxiv",
    "version": 1
  }
}