Pith Number

pith:NCZ4LR5F

pith:2019:NCZ4LR5FQ2H26TIBKGDU7NKVKB

not attested not anchored not stored refs pending

Complex plane representations and stationary states in cubic and quintic resonant systems

Anxo Biasi, Oleg Evnin, Piotr Bizon

arxiv:1904.09575 v2 · 2019-04-21 · math-ph · hep-th · math.AP · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCZ4LR5FQ2H26TIBKGDU7NKVKB}

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	2026-07-05T00:08:05.157779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68b3c5c7a5868faf4d0151874fb55550722a6bf8c71f3b4034cc399984bd1bad

Aliases

arxiv: 1904.09575 · arxiv_version: 1904.09575v2 · doi: 10.48550/arxiv.1904.09575 · pith_short_12: NCZ4LR5FQ2H2 · pith_short_16: NCZ4LR5FQ2H26TIB · pith_short_8: NCZ4LR5F

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/NCZ4LR5FQ2H26TIBKGDU7NKVKB \
  | 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: 68b3c5c7a5868faf4d0151874fb55550722a6bf8c71f3b4034cc399984bd1bad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05cad643880bd163aa1075b2a621cc8ddedbc1cca51dd3bcaeb8eedf98f14564",
    "cross_cats_sorted": [
      "hep-th",
      "math.AP",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-04-21T10:55:56Z",
    "title_canon_sha256": "b903096e81cf5d25d88bf3fe2d0a05c2dc5d6f944906f6a194a8dca0550c2b4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09575",
    "kind": "arxiv",
    "version": 2
  }
}