Pith Number

pith:2VZFVECL

pith:2020:2VZFVECL75JPVOTQQ4RSJTZPVC

not attested not anchored not stored refs pending

Non-Kirchhoff Vertices and NLS Ground States on graphs

Alice Ruighi, Filippo Boni, Riccardo Adami

arxiv:2003.05495 v2 · 2020-03-11 · 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{2VZFVECL75JPVOTQQ4RSJTZPVC}

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	2026-07-05T08:50:05.048285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5725a904bff52faba70872324cf2fa8ba27f52fd9be722e196cefb10d29574f

Aliases

arxiv: 2003.05495 · arxiv_version: 2003.05495v2 · doi: 10.48550/arxiv.2003.05495 · pith_short_12: 2VZFVECL75JP · pith_short_16: 2VZFVECL75JPVOTQ · pith_short_8: 2VZFVECL

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/2VZFVECL75JPVOTQQ4RSJTZPVC \
  | 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: d5725a904bff52faba70872324cf2fa8ba27f52fd9be722e196cefb10d29574f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27ce9d1f3f83af56d27e49db4147bf495c252a45eb54eb8e17ea8244930bcc3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-03-11T19:23:51Z",
    "title_canon_sha256": "5618b84308c909a522da52427a56a5bf09639f04fee26c0c0f30932444ffc715"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.05495",
    "kind": "arxiv",
    "version": 2
  }
}