Pith Number

pith:X2VFOZ2P

pith:2009:X2VFOZ2PON3SF6TWEIZFXDOMZO

not attested not anchored not stored refs pending

On convexity of solutions of ordinary differential equations

Alexander G. Smirnov, Eberhard Mayerhofer, Martin Keller-Ressel

arxiv:0910.2195 v2 · 2009-10-12 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2VFOZ2PON3SF6TWEIZFXDOMZO}

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	2026-05-18T04:42:44.666928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beaa57674f737722fa7622325b8dcccb9622a32f41b924406191a5e4c74abb99

Aliases

arxiv: 0910.2195 · arxiv_version: 0910.2195v2 · doi: 10.48550/arxiv.0910.2195 · pith_short_12: X2VFOZ2PON3S · pith_short_16: X2VFOZ2PON3SF6TW · pith_short_8: X2VFOZ2P

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/X2VFOZ2PON3SF6TWEIZFXDOMZO \
  | 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: beaa57674f737722fa7622325b8dcccb9622a32f41b924406191a5e4c74abb99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2900a6089efa58019fec427f84e9ed66c94fca02d8991fef72c0110c10f0bdcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-10-12T16:18:52Z",
    "title_canon_sha256": "1a67861b27ab53749fe9a3f8175a34cb26dde8890a357695f09a69a7dc701b9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2195",
    "kind": "arxiv",
    "version": 2
  }
}