Pith Number

pith:LX45RCUZ

pith:2016:LX45RCUZBXSCIQ4IJHDFULQKNG

not attested not anchored not stored refs pending

On the structure of sets with positive reach

Jan Rataj, Ludek Zajicek

arxiv:1604.08841 v2 · 2016-04-29 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LX45RCUZBXSCIQ4IJHDFULQKNG}

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	2026-05-18T00:37:48.557203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5df9d88a990de424438849c65a2e0a69871f41910e9c0ba0c0b8f3a3b2f233c5

Aliases

arxiv: 1604.08841 · arxiv_version: 1604.08841v2 · doi: 10.48550/arxiv.1604.08841 · pith_short_12: LX45RCUZBXSC · pith_short_16: LX45RCUZBXSCIQ4I · pith_short_8: LX45RCUZ

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/LX45RCUZBXSCIQ4IJHDFULQKNG \
  | 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: 5df9d88a990de424438849c65a2e0a69871f41910e9c0ba0c0b8f3a3b2f233c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "241eb58348c81504723c33d6eb9976f286beddd0e9e876488ccf2916a7d57d72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-04-29T14:13:11Z",
    "title_canon_sha256": "c5e0982515e7fbb2f432f40571e05906f61008a1a7add745010d1511adae15ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08841",
    "kind": "arxiv",
    "version": 2
  }
}