Pith Number

pith:KASJ6HIW

pith:2017:KASJ6HIWTPEXV4HZKVFDP2ZPDM

not attested not anchored not stored refs pending

A Vietoris-Smale mapping theorem for the homotopy of hyperdefinable sets

Alessandro Achille, Alessandro Berarducci

arxiv:1706.02094 v1 · 2017-06-07 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KASJ6HIWTPEXV4HZKVFDP2ZPDM}

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	2026-05-18T00:42:50.085710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50249f1d169bc97af0f9554a37eb2f1b23fb60540045b56e75f437804c611a63

Aliases

arxiv: 1706.02094 · arxiv_version: 1706.02094v1 · doi: 10.48550/arxiv.1706.02094 · pith_short_12: KASJ6HIWTPEX · pith_short_16: KASJ6HIWTPEXV4HZ · pith_short_8: KASJ6HIW

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/KASJ6HIWTPEXV4HZKVFDP2ZPDM \
  | 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: 50249f1d169bc97af0f9554a37eb2f1b23fb60540045b56e75f437804c611a63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "407efaf2f53851e2cfbde1baad3511475e2889bfa8fd3eb59127aa6a8cd0520b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-06-07T09:03:21Z",
    "title_canon_sha256": "b520ed1499f5f411e7b4fa5af8c0f31c760b3217defcb68fd950570c12ab25ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02094",
    "kind": "arxiv",
    "version": 1
  }
}