Pith Number

pith:MRVYUCQB

pith:2009:MRVYUCQBMVRIM2BTQ456H46E5M

not attested not anchored not stored refs pending

A Generalization of Chaplygin's Reducibility Theorem

A.M. Bloch, O. E. Fernandez, T. Mestdag

arxiv:0909.4018 v2 · 2009-09-22 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRVYUCQBMVRIM2BTQ456H46E5M}

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	2026-05-18T04:12:00.858930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

646b8a0a016562866833873be3f3c4eb2e2fdffa5ae641852454bf861b22a3bd

Aliases

arxiv: 0909.4018 · arxiv_version: 0909.4018v2 · doi: 10.48550/arxiv.0909.4018 · pith_short_12: MRVYUCQBMVRI · pith_short_16: MRVYUCQBMVRIM2BT · pith_short_8: MRVYUCQB

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/MRVYUCQBMVRIM2BTQ456H46E5M \
  | 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: 646b8a0a016562866833873be3f3c4eb2e2fdffa5ae641852454bf861b22a3bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd79bf21149b028072f4b44c7f3925f63112674d3ebdf1a0042a637c3bc26f5e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-09-22T14:57:43Z",
    "title_canon_sha256": "ce48946ebc3a61471d7f3af4af4812df9cb9115065a869272c2a49a556bd328f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4018",
    "kind": "arxiv",
    "version": 2
  }
}