Pith Number

pith:3ZDOFQHN

pith:2019:3ZDOFQHNYZLQYLRECEKF6BL2SY

not attested not anchored not stored refs pending

Infinitely many sign-changing solutions for Kirchhoff type problems in $\mathbb{R}^3$

Bo\v{s}tjan Gabrov\v{s}ek, Jijiang Sun, Lin Li, Matija Cencelj

arxiv:1907.01888 v1 · 2019-07-03 · 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{3ZDOFQHNYZLQYLRECEKF6BL2SY}

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	2026-05-17T23:41:34.643713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de46e2c0edc6570c2e2411145f057a962ebb9aecd0f6ec8afee404cca354edc7

Aliases

arxiv: 1907.01888 · arxiv_version: 1907.01888v1 · doi: 10.48550/arxiv.1907.01888 · pith_short_12: 3ZDOFQHNYZLQ · pith_short_16: 3ZDOFQHNYZLQYLRE · pith_short_8: 3ZDOFQHN

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/3ZDOFQHNYZLQYLRECEKF6BL2SY \
  | 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: de46e2c0edc6570c2e2411145f057a962ebb9aecd0f6ec8afee404cca354edc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cceb704c3a66f2d47f9a804c6b981e58c1b9834f5c2b0c4e3fa828b24b0e10d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-03T12:34:24Z",
    "title_canon_sha256": "b8ca3dc0dff2da6b0188c7160b3d39c89d6431e5ebe2fa0c8377bd2e28c44c30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01888",
    "kind": "arxiv",
    "version": 1
  }
}