Pith Number

pith:YO4HARZ3

pith:2019:YO4HARZ3HDINYCKUTOTZJYB7G3

not attested not anchored not stored refs pending

The landing of parameter rays at non-recurrent critical portraits

Jinsong Zeng, Yan Gao

arxiv:1908.09111 v1 · 2019-08-24 · 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{YO4HARZ3HDINYCKUTOTZJYB7G3}

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	2026-07-04T23:59:36.865124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3b870473b38d0dc09549ba794e03f36db821bbec4ab4945e73bdaf7a4a08bcd

Aliases

arxiv: 1908.09111 · arxiv_version: 1908.09111v1 · doi: 10.48550/arxiv.1908.09111 · pith_short_12: YO4HARZ3HDIN · pith_short_16: YO4HARZ3HDINYCKU · pith_short_8: YO4HARZ3

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/YO4HARZ3HDINYCKUTOTZJYB7G3 \
  | 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: c3b870473b38d0dc09549ba794e03f36db821bbec4ab4945e73bdaf7a4a08bcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6247470ff70a22cc4e992b7a243d872b2eece3ef9cc7e470c9946d772132358e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-24T09:23:22Z",
    "title_canon_sha256": "896424b3bfd03c92e8f5fec4ef59b1449c0b7d1642e9f6d2e578e4d7bad262fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09111",
    "kind": "arxiv",
    "version": 1
  }
}