Pith Number

pith:4HXROMJR

pith:2005:4HXROMJRK5G454JHCFASST4367

not attested not anchored not stored refs pending

Roberts' type embeddings and conversion of the transversal Tverberg's theorem

Semeon Bogatyi, Vesko Valov

arxiv:math/0503131 v1 · 2005-03-07 · math.GN · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HXROMJRK5G454JHCFASST4367}

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	2026-05-18T01:38:26.903534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1ef173131574dcef1271141294f9bf7c5168f9d5412a9c84e4145e7abae556a

Aliases

arxiv: math/0503131 · arxiv_version: math/0503131v1 · doi: 10.48550/arxiv.math/0503131 · pith_short_12: 4HXROMJRK5G4 · pith_short_16: 4HXROMJRK5G454JH · pith_short_8: 4HXROMJR

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/4HXROMJRK5G454JHCFASST4367 \
  | 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: e1ef173131574dcef1271141294f9bf7c5168f9d5412a9c84e4145e7abae556a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d9ce2f2c5c97d5912a8092d91cd6ac20c752799d909902059d084272b1af00a",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GN",
    "submitted_at": "2005-03-07T21:36:12Z",
    "title_canon_sha256": "30efb451f91f801cf983f3b0541b53e21390597727259b82e1999747c79dac9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503131",
    "kind": "arxiv",
    "version": 1
  }
}