Pith Number

pith:GCELHZ46

pith:2018:GCELHZ46UXG5KZVXG4I5YPYFH3

not attested not anchored not stored refs pending

Multiplicity and concentration of nontrivial solutions for the generalized extensible beam equations

Juntao Sun, Tsung-fang Wu

arxiv:1812.03043 v1 · 2018-12-07 · 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{GCELHZ46UXG5KZVXG4I5YPYFH3}

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	2026-05-17T23:58:51.094985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3088b3e79ea5cdd566b73711dc3f053ef73664beceb6aae1dd7d7b8036e8ba9f

Aliases

arxiv: 1812.03043 · arxiv_version: 1812.03043v1 · doi: 10.48550/arxiv.1812.03043 · pith_short_12: GCELHZ46UXG5 · pith_short_16: GCELHZ46UXG5KZVX · pith_short_8: GCELHZ46

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/GCELHZ46UXG5KZVXG4I5YPYFH3 \
  | 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: 3088b3e79ea5cdd566b73711dc3f053ef73664beceb6aae1dd7d7b8036e8ba9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5612c2fc1f62691013ebfe478a82f3459ac99bbe0f400f75fa9fd7a4a23d27b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-07T14:43:53Z",
    "title_canon_sha256": "68050a52d2db1cea179e51afb8ad817b42d626f44528aaf291be1fa08e84f0ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03043",
    "kind": "arxiv",
    "version": 1
  }
}