Pith Number

pith:CPAFNOCT

pith:2019:CPAFNOCTZNXA6SNYGQHGVBVPQT

not attested not anchored not stored refs pending

Flux-approximation limits of solutions to the Brio system with two independent parameters

Yanyan Zhang, Yu Zhang

arxiv:1901.01390 v1 · 2019-01-05 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPAFNOCTZNXA6SNYGQHGVBVPQT}

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	2026-05-17T23:56:52.103368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13c056b853cb6e0f49b8340e6a86af84e0e61e6f9b232e78333efcc95ade85c2

Aliases

arxiv: 1901.01390 · arxiv_version: 1901.01390v1 · doi: 10.48550/arxiv.1901.01390 · pith_short_12: CPAFNOCTZNXA · pith_short_16: CPAFNOCTZNXA6SNY · pith_short_8: CPAFNOCT

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/CPAFNOCTZNXA6SNYGQHGVBVPQT \
  | 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: 13c056b853cb6e0f49b8340e6a86af84e0e61e6f9b232e78333efcc95ade85c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1d6f3d401b5054d5189afd48be7720e5b0268283d5a8ca23d634c1d5ec52b12",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-05T09:42:13Z",
    "title_canon_sha256": "f7b9c80005bc6355b8c634df69c4d2a0077502014e81fc392029677e8b25befa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01390",
    "kind": "arxiv",
    "version": 1
  }
}