Pith Number

pith:H3NRYKFL

pith:2015:H3NRYKFLJ2WMX47NNGAAVNXKTF

not attested not anchored not stored refs pending

On a problem of S.L. Sobolev

Michael V. Klibanov

arxiv:1508.07232 v1 · 2015-08-26 · math.AP · 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{H3NRYKFLJ2WMX47NNGAAVNXKTF}

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	2026-05-18T01:34:36.530337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3edb1c28ab4eaccbf3ed69800ab6ea997cd26df906bfbdd9aaf9939fc56918c6

Aliases

arxiv: 1508.07232 · arxiv_version: 1508.07232v1 · doi: 10.48550/arxiv.1508.07232 · pith_short_12: H3NRYKFLJ2WM · pith_short_16: H3NRYKFLJ2WMX47N · pith_short_8: H3NRYKFL

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/H3NRYKFLJ2WMX47NNGAAVNXKTF \
  | 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: 3edb1c28ab4eaccbf3ed69800ab6ea997cd26df906bfbdd9aaf9939fc56918c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9fcc84b968c3fceda3cb6836de615bac059a50092ad1e3034810cc9e4a7b727",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-26T22:28:42Z",
    "title_canon_sha256": "956da17ecf6db27345784d0dbe88e9a1369805635fa06b699c41fd212249d1ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07232",
    "kind": "arxiv",
    "version": 1
  }
}