Pith Number

pith:OV35NBO5

pith:2015:OV35NBO5VUR5HBV6DCVFVBDSX5

not attested not anchored not stored refs pending

On families of differential equations on two-torus with all phase-lock areas

Alexey Glutsyuk, Leonid Rybnikov

arxiv:1505.06975 v2 · 2015-05-26 · 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{OV35NBO5VUR5HBV6DCVFVBDSX5}

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	2026-05-18T01:00:46.275634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7577d685ddad23d386be18aa5a8472bf606146a39704e589662ebf10e10d2292

Aliases

arxiv: 1505.06975 · arxiv_version: 1505.06975v2 · doi: 10.48550/arxiv.1505.06975 · pith_short_12: OV35NBO5VUR5 · pith_short_16: OV35NBO5VUR5HBV6 · pith_short_8: OV35NBO5

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/OV35NBO5VUR5HBV6DCVFVBDSX5 \
  | 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: 7577d685ddad23d386be18aa5a8472bf606146a39704e589662ebf10e10d2292

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0444b1efcb739eafe16e7e225cf69455f51e448dfcfbd26cd60b3e03bb3f5ec7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-05-26T14:49:33Z",
    "title_canon_sha256": "46036c81bd65ab7e44fd6e6ad5120b35f62a060a15e9f31fca1a647cb3a69813"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06975",
    "kind": "arxiv",
    "version": 2
  }
}