Pith Number

pith:UDK62M4T

pith:2013:UDK62M4TNQ2NJ2M7ZIBV6YINQX

not attested not anchored not stored refs pending

Conditions for Bifurcations in a Non-Autonomous Scalar Differential Equation

Hyong-Chol O, Sang-Mun Kim

arxiv:1311.1812 v5 · 2013-11-07 · 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{UDK62M4TNQ2NJ2M7ZIBV6YINQX}

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	2026-05-18T00:07:19.195542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0d5ed33936c34d4e99fca035f610d85e1b0f475fba7ccda9333e348d94ef4fb

Aliases

arxiv: 1311.1812 · arxiv_version: 1311.1812v5 · doi: 10.48550/arxiv.1311.1812 · pith_short_12: UDK62M4TNQ2N · pith_short_16: UDK62M4TNQ2NJ2M7 · pith_short_8: UDK62M4T

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/UDK62M4TNQ2NJ2M7ZIBV6YINQX \
  | 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: a0d5ed33936c34d4e99fca035f610d85e1b0f475fba7ccda9333e348d94ef4fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c0958a276da5e54f9da89a4bfd1bdb361ab3f76e012dfe808a976f25fc41c51",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-07T07:01:17Z",
    "title_canon_sha256": "ead904d317f9a8b17abcbd82bb64f8ba4a62b5c320efa99ac6d5901fa24cc739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1812",
    "kind": "arxiv",
    "version": 5
  }
}