Pith Number

pith:LO6OPWZS

pith:2010:LO6OPWZSNSR3JVAUQOUXI4DHMH

not attested not anchored not stored refs pending

Differential operators on Schwartz distributions. Jet formalism

G. Sardanashvily

arxiv:1010.4768 v2 · 2010-10-22 · 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{LO6OPWZSNSR3JVAUQOUXI4DHMH}

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	2026-05-18T03:46:04.103258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bbce7db326ca3b4d41483a974706761dd99d0ee0ef87443da70f892599e6f6c

Aliases

arxiv: 1010.4768 · arxiv_version: 1010.4768v2 · doi: 10.48550/arxiv.1010.4768 · pith_short_12: LO6OPWZSNSR3 · pith_short_16: LO6OPWZSNSR3JVAU · pith_short_8: LO6OPWZS

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/LO6OPWZSNSR3JVAUQOUXI4DHMH \
  | 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: 5bbce7db326ca3b4d41483a974706761dd99d0ee0ef87443da70f892599e6f6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abc3ed7a4db653f1a363f13c621b61d7bd13db0df084ed6f4c387791f5462dfe",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-22T17:48:25Z",
    "title_canon_sha256": "41c278f297dfbcd8743acd2b4f058e20eb9bfc608d9d0934de00fa43ad105fe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4768",
    "kind": "arxiv",
    "version": 2
  }
}