Pith Number

pith:W4K4WLSU

pith:2012:W4K4WLSUGLDJHKMKXOD4ERLMQE

not attested not anchored not stored refs pending

Topological Mappings with Controlled $p$-Moduli

Anatoly Golberg, Ruslan Salimov

arxiv:1210.1367 v1 · 2012-10-04 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4K4WLSUGLDJHKMKXOD4ERLMQE}

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	2026-05-18T03:44:03.786178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b715cb2e5432c693a98abb87c2456c812be214315815cf5b663b233fb80eeb3b

Aliases

arxiv: 1210.1367 · arxiv_version: 1210.1367v1 · doi: 10.48550/arxiv.1210.1367 · pith_short_12: W4K4WLSUGLDJ · pith_short_16: W4K4WLSUGLDJHKMK · pith_short_8: W4K4WLSU

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/W4K4WLSUGLDJHKMKXOD4ERLMQE \
  | 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: b715cb2e5432c693a98abb87c2456c812be214315815cf5b663b233fb80eeb3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f245cff6e03e03339657c7900fe8a8e452b3fc3997e010925b77497ad739cb5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-10-04T10:19:36Z",
    "title_canon_sha256": "429b7b6779bb2ceb4ae63290ab0511557db38f57c79930bcd60b91a4b4b94f84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1367",
    "kind": "arxiv",
    "version": 1
  }
}