Pith Number

pith:HY2URKVG

pith:2013:HY2URKVGK5ZIKT655HLSHEA5XG

not attested not anchored not stored refs pending

Theorems about includings for multivalued mappings

Bogdan Klishchuk, Maxim Tkachuk, Yuri Zelinskii

arxiv:1310.2707 v1 · 2013-10-10 · 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{HY2URKVGK5ZIKT655HLSHEA5XG}

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	2026-05-18T03:10:46.889053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e3548aaa65772854fdde9d723901db9823f2df751535a21167fec6b75dffe4a

Aliases

arxiv: 1310.2707 · arxiv_version: 1310.2707v1 · doi: 10.48550/arxiv.1310.2707 · pith_short_12: HY2URKVGK5ZI · pith_short_16: HY2URKVGK5ZIKT65 · pith_short_8: HY2URKVG

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/HY2URKVGK5ZIKT655HLSHEA5XG \
  | 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: 3e3548aaa65772854fdde9d723901db9823f2df751535a21167fec6b75dffe4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95326e9bcabebba7d75052603365bd7108d231c8ce4c681cbdbdfc171f65cee9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-10-10T05:55:39Z",
    "title_canon_sha256": "d021818fa630cd3caa1754bb7682b10af3b4aefae16b710ad0812ae718c5fc71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2707",
    "kind": "arxiv",
    "version": 1
  }
}