Pith Number

pith:U4KNJEDE

pith:2010:U4KNJEDE3FKIZCGCJK2MFX6HGY

not attested not anchored not stored refs pending

Embeddings of finite-dimensional compacta in Euclidean spaces

S. Bogataya, S. Bogatyi, V. Valov

arxiv:1010.1892 v2 · 2010-10-10 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4KNJEDE3FKIZCGCJK2MFX6HGY}

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	2026-05-18T04:36:51.061837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a714d49064d9548c88c24ab4c2dfc736295e2b476a7d17ebbfac2e5194188c63

Aliases

arxiv: 1010.1892 · arxiv_version: 1010.1892v2 · doi: 10.48550/arxiv.1010.1892 · pith_short_12: U4KNJEDE3FKI · pith_short_16: U4KNJEDE3FKIZCGC · pith_short_8: U4KNJEDE

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/U4KNJEDE3FKIZCGCJK2MFX6HGY \
  | 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: a714d49064d9548c88c24ab4c2dfc736295e2b476a7d17ebbfac2e5194188c63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7ed5a7047f3e9ac70b143616dab3b65daff8af7a8e31a5a9f6a5c4f0291b9aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2010-10-10T03:59:17Z",
    "title_canon_sha256": "adfa8cd30f49511c81f8d3e9bcd0e3822e5673337609a3cd8b95b65eedcc220f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1892",
    "kind": "arxiv",
    "version": 2
  }
}