Pith Number

pith:7PNDXN5S

pith:2019:7PNDXN5SAZ2F7OZ4UBGN5YSD4P

not attested not anchored not stored refs pending

Multilayered Vortices

D. Bazeia, M. A. Liao, M. A. Marques, R. Menezes

arxiv:1908.07871 v2 · 2019-08-16 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PNDXN5SAZ2F7OZ4UBGN5YSD4P}

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.

Cited by

1 paper in Pith

Multilayered Vortices

Receipt and verification

First computed	2026-07-05T00:15:24.046729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbda3bb7b206745fbb3ca04cdee243e3c6fcd04cd30f2ca8af4d71cecc1b4e67

Aliases

arxiv: 1908.07871 · arxiv_version: 1908.07871v2 · doi: 10.48550/arxiv.1908.07871 · pith_short_12: 7PNDXN5SAZ2F · pith_short_16: 7PNDXN5SAZ2F7OZ4 · pith_short_8: 7PNDXN5S

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/7PNDXN5SAZ2F7OZ4UBGN5YSD4P \
  | 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: fbda3bb7b206745fbb3ca04cdee243e3c6fcd04cd30f2ca8af4d71cecc1b4e67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "400ff7da87dffa009ab9f754bf234b67ae606b626b5abf3564022ba8f556d4dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-08-16T01:09:08Z",
    "title_canon_sha256": "19421224df4267d4ae9b736178d06ff10df606813098b453f0cd48e9d123b314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07871",
    "kind": "arxiv",
    "version": 2
  }
}