Pith Number

pith:O47TFP5G

pith:2018:O47TFP5GQMTZO3BYFMCAMHG4EX

not attested not anchored not stored refs pending

Existence and concentration of solution for a fractional Hamiltonian systems with positive semi-definite matrix

Amado Mendez, C\'esar Torres, Ziheng Zhang

arxiv:1808.09300 v1 · 2018-08-28 · 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{O47TFP5GQMTZO3BYFMCAMHG4EX}

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	2026-05-18T00:07:01.775052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

773f32bfa68327976c382b04061cdc25efc13546971c42932e58995d5205e626

Aliases

arxiv: 1808.09300 · arxiv_version: 1808.09300v1 · doi: 10.48550/arxiv.1808.09300 · pith_short_12: O47TFP5GQMTZ · pith_short_16: O47TFP5GQMTZO3BY · pith_short_8: O47TFP5G

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/O47TFP5GQMTZO3BYFMCAMHG4EX \
  | 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: 773f32bfa68327976c382b04061cdc25efc13546971c42932e58995d5205e626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2628155a8ed067dd47564288e6ccc859bf7f3594cf2499c767a3d410b693511e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-28T13:53:42Z",
    "title_canon_sha256": "7e010a32e22cca59d3f8caec25f9bf2ad8be7337fb72591c99e184b7b536e149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09300",
    "kind": "arxiv",
    "version": 1
  }
}