Pith Number

pith:KDE3FMFY

pith:2010:KDE3FMFY2HA26VAHIEWJOYNAI5

not attested not anchored not stored refs pending

Dependence on parameters for a discrete Emden-Fowler equation

Marek Galewski

arxiv:1001.3133 v1 · 2010-01-18 · math.CA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KDE3FMFY2HA26VAHIEWJOYNAI5}

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	2026-05-18T03:39:05.552096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50c9b2b0b8d1c1af5407412c9761a0476dfaa8f73afb138d13eb289d1ccb8ee2

Aliases

arxiv: 1001.3133 · arxiv_version: 1001.3133v1 · doi: 10.48550/arxiv.1001.3133 · pith_short_12: KDE3FMFY2HA2 · pith_short_16: KDE3FMFY2HA26VAH · pith_short_8: KDE3FMFY

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/KDE3FMFY2HA26VAHIEWJOYNAI5 \
  | 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: 50c9b2b0b8d1c1af5407412c9761a0476dfaa8f73afb138d13eb289d1ccb8ee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9824674f591af45bc2568fd6984b670944ebffc648b2ca5df2a381e4d849e8ed",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-01-18T21:56:12Z",
    "title_canon_sha256": "63ad92d9b4d6bd7094676cf5c1b548979abe296832c6f9218f0b71e2c87b7945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3133",
    "kind": "arxiv",
    "version": 1
  }
}