Pith Number

pith:AJDKCIVO

pith:2013:AJDKCIVOSGS2JR5JGH2AIJNKNH

not attested not anchored not stored refs pending

A critical fractional equation with concave-convex power nonlinearities

B. Barrios, E. Colorado, F. Soria, R. Servadei

arxiv:1306.3190 v1 · 2013-06-13 · 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{AJDKCIVOSGS2JR5JGH2AIJNKNH}

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	2026-05-18T03:20:59.387571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0246a122ae91a5a4c7a931f40425aa69c6253d155ab0f7ccd248f89d7f822def

Aliases

arxiv: 1306.3190 · arxiv_version: 1306.3190v1 · doi: 10.48550/arxiv.1306.3190 · pith_short_12: AJDKCIVOSGS2 · pith_short_16: AJDKCIVOSGS2JR5J · pith_short_8: AJDKCIVO

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/AJDKCIVOSGS2JR5JGH2AIJNKNH \
  | 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: 0246a122ae91a5a4c7a931f40425aa69c6253d155ab0f7ccd248f89d7f822def

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cf5718270f6174e1168d5bfcb14b4ef2272eab0bf461000826b2d972e162b37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-13T18:39:34Z",
    "title_canon_sha256": "225f89dd958e4cafb5c08b88eb36b0daca560d7902f76fe6a68cb86be44e3cd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3190",
    "kind": "arxiv",
    "version": 1
  }
}