Pith Number

pith:54K7JS3J

pith:2012:54K7JS3JNEHGY6RM3VYEVOOJJY

not attested not anchored not stored refs pending

Quasi-optimal multiplication of linear differential operators

Alexandre Benoit, Alin Bostan, Joris van der Hoeven

arxiv:1208.3639 v1 · 2012-08-17 · cs.CC · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54K7JS3JNEHGY6RM3VYEVOOJJY}

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	2026-05-18T00:59:04.845030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef15f4cb69690e6c7a2cdd704ab9c94e2a7f2ac63e0d0825437335b94d16c081

Aliases

arxiv: 1208.3639 · arxiv_version: 1208.3639v1 · doi: 10.48550/arxiv.1208.3639 · pith_short_12: 54K7JS3JNEHG · pith_short_16: 54K7JS3JNEHGY6RM · pith_short_8: 54K7JS3J

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/54K7JS3JNEHGY6RM3VYEVOOJJY \
  | 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: ef15f4cb69690e6c7a2cdd704ab9c94e2a7f2ac63e0d0825437335b94d16c081

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e927385dbbbbe0dd68121fcf6cb8df955f634078cee0d4b906293687fcf6fcd",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-08-17T17:10:34Z",
    "title_canon_sha256": "5c7f4875f02e9b8c51bcacb980a6797b3bed7f05a223c06a2c34e009fe8a12db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3639",
    "kind": "arxiv",
    "version": 1
  }
}