Pith Number

pith:RMPKZKYH

pith:2010:RMPKZKYHSDT77TRD3KR6SXUCFR

not attested not anchored not stored refs pending

The elliptic Kirchhoff equation in $\R^N$ perturbed by a local nonlinearity

Antonio Azzollini

arxiv:1001.0269 v3 · 2010-01-02 · 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{RMPKZKYHSDT77TRD3KR6SXUCFR}

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	2026-05-18T04:23:33.285552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b1eacab0790e7ffce23daa3e95e822c4706cec0230b76a84573df087bfbd31c

Aliases

arxiv: 1001.0269 · arxiv_version: 1001.0269v3 · doi: 10.48550/arxiv.1001.0269 · pith_short_12: RMPKZKYHSDT7 · pith_short_16: RMPKZKYHSDT77TRD · pith_short_8: RMPKZKYH

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/RMPKZKYHSDT77TRD3KR6SXUCFR \
  | 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: 8b1eacab0790e7ffce23daa3e95e822c4706cec0230b76a84573df087bfbd31c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faa233dfc244f01eef9c84c73ad7db1029890ba277897d466040e5a964516369",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-01-02T00:15:02Z",
    "title_canon_sha256": "11077e2f4a4a93861307d11f847b2b469787dfb47cea2cbf0be10b023be6ec95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0269",
    "kind": "arxiv",
    "version": 3
  }
}