Pith Number

pith:IECM7H24

pith:2009:IECM7H242SPWMKX7G4JQAHRTJX

not attested not anchored not stored refs pending

Special functions associated to a certain fourth order differential equation

Gen Mano, Jan M\"ollers, Joachim Hilgert, Toshiyuki Kobayashi

arxiv:0907.2608 v2 · 2009-07-15 · math.CA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IECM7H242SPWMKX7G4JQAHRTJX}

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	2026-05-18T02:56:11.955857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4104cf9f5cd49f662aff3713001e334ddaf3102a2a44d83cb21aebc0fe306141

Aliases

arxiv: 0907.2608 · arxiv_version: 0907.2608v2 · doi: 10.48550/arxiv.0907.2608 · pith_short_12: IECM7H242SPW · pith_short_16: IECM7H242SPWMKX7 · pith_short_8: IECM7H24

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/IECM7H242SPWMKX7G4JQAHRTJX \
  | 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: 4104cf9f5cd49f662aff3713001e334ddaf3102a2a44d83cb21aebc0fe306141

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec25bb62f2269a140b943511e0462979dd9d93323378b1ffccdaef85af789d58",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-07-15T15:04:15Z",
    "title_canon_sha256": "e964f6b42697a1931c82c43fc8b29482653bfafa50b5b9aa9ca352aa8a310e75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2608",
    "kind": "arxiv",
    "version": 2
  }
}