Pith Number

pith:N2WWQAED

pith:2021:N2WWQAEDU6BNKBVGCYWFGK6LTX

not attested not anchored not stored refs pending

Doubly nonlinear Schr\"odinger ground states on metric graphs

Filippo Boni, Simone Dovetta

arxiv:2112.09016 v2 · 2021-12-16 · 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{N2WWQAEDU6BNKBVGCYWFGK6LTX}

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	2026-07-05T03:54:04.204034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ead680083a782d506a6162c532bcb9dcee8da34c9500be09f370069d60555c3

Aliases

arxiv: 2112.09016 · arxiv_version: 2112.09016v2 · doi: 10.48550/arxiv.2112.09016 · pith_short_12: N2WWQAEDU6BN · pith_short_16: N2WWQAEDU6BNKBVG · pith_short_8: N2WWQAED

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/N2WWQAEDU6BNKBVGCYWFGK6LTX \
  | 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: 6ead680083a782d506a6162c532bcb9dcee8da34c9500be09f370069d60555c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfd839a2f58a184b9289433ef01c8c1d581d4ad5022fdc9f2dbf4cb5cdcf56a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-12-16T16:51:50Z",
    "title_canon_sha256": "1573638524e9a4147c489122098b691f7dd9b4c489ef87dd8574cd49b12fbdf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.09016",
    "kind": "arxiv",
    "version": 2
  }
}