Pith Number

pith:EFGC3LW2

pith:2013:EFGC3LW27NTLZAY3U2XWPIIIUT

not attested not anchored not stored refs pending

A Short Proof that Minimal Sets of Planar Ordinary Differential Equations are Trivial

Ido Bright

arxiv:1309.3294 v2 · 2013-09-12 · math.CA · 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{EFGC3LW27NTLZAY3U2XWPIIIUT}

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	2026-05-18T03:12:21.734156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

214c2daedafb66bc831ba6af67a108a4c068805967fd31c45716df3738e881b2

Aliases

arxiv: 1309.3294 · arxiv_version: 1309.3294v2 · doi: 10.48550/arxiv.1309.3294 · pith_short_12: EFGC3LW27NTL · pith_short_16: EFGC3LW27NTLZAY3 · pith_short_8: EFGC3LW2

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/EFGC3LW27NTLZAY3U2XWPIIIUT \
  | 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: 214c2daedafb66bc831ba6af67a108a4c068805967fd31c45716df3738e881b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94cb0e68a7d220c8fd4fbcf94510a35cdb923cf0c982363c764e88dded014a64",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-09-12T20:36:26Z",
    "title_canon_sha256": "d3ea6e825c873f8ac285b3ec854a685026d6ead2cdd5160255ea94b4c55ad71b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3294",
    "kind": "arxiv",
    "version": 2
  }
}