Pith Number

pith:GD6OXOBA

pith:2015:GD6OXOBAYG6AHJ4G7CTCXPW55M

not attested not anchored not stored refs pending

Homogenization Method, uncovered on 2 pages

Vladimir A. Vladimirov

arxiv:1512.02048 v1 · 2015-12-07 · 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{GD6OXOBAYG6AHJ4G7CTCXPW55M}

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	2026-05-18T01:25:09.696424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30fcebb820c1bc03a786f8a62bbeddeb0d6f5457100045ea12348ed637ce17ed

Aliases

arxiv: 1512.02048 · arxiv_version: 1512.02048v1 · doi: 10.48550/arxiv.1512.02048 · pith_short_12: GD6OXOBAYG6A · pith_short_16: GD6OXOBAYG6AHJ4G · pith_short_8: GD6OXOBA

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/GD6OXOBAYG6AHJ4G7CTCXPW55M \
  | 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: 30fcebb820c1bc03a786f8a62bbeddeb0d6f5457100045ea12348ed637ce17ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "499ad7abc923fc1ae18c636710fe71946c7b68141156783cd0d07598a737c81e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-07T14:07:02Z",
    "title_canon_sha256": "73c3b6ab8a08c9ba484547096cb97a3a1e7647d79cbf7ec8adc723892ad676e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02048",
    "kind": "arxiv",
    "version": 1
  }
}