Pith Number

pith:VCBF54TB

pith:2016:VCBF54TBEL47XFEAEF3BH66OIE

not attested not anchored not stored refs pending

Periodic Solutions of vdP and vdP-like Systems on $3$--Tori

Adrian Murza, Edward Hooton, Zalman Balanov

arxiv:1608.05555 v1 · 2016-08-19 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCBF54TBEL47XFEAEF3BH66OIE}

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	2026-05-18T01:08:28.194221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8825ef26122f9fb9480217613fbce410c6e0a41d97e1e7289f51349d4991bd6

Aliases

arxiv: 1608.05555 · arxiv_version: 1608.05555v1 · doi: 10.48550/arxiv.1608.05555 · pith_short_12: VCBF54TBEL47 · pith_short_16: VCBF54TBEL47XFEA · pith_short_8: VCBF54TB

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/VCBF54TBEL47XFEAEF3BH66OIE \
  | 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: a8825ef26122f9fb9480217613fbce410c6e0a41d97e1e7289f51349d4991bd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dee5fe09282c6285823d04f0c85afec49246622163100a73cc4d0e96c433d955",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-08-19T09:50:21Z",
    "title_canon_sha256": "4a6a693fbabab9bb4bbae1b59dbe9af24678efdc5d313031184dca689035f511"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05555",
    "kind": "arxiv",
    "version": 1
  }
}