Pith Number

pith:A6ADVMHJ

pith:2016:A6ADVMHJR46BUBL6CKWSHJT3VQ

not attested not anchored not stored refs pending

Is a monotone union of contractible open sets contractible?

Fredric D. Ancel, Robert D. Edwards

arxiv:1606.05379 v3 · 2016-06-16 · math.GN · math.AT · 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{A6ADVMHJR46BUBL6CKWSHJT3VQ}

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	2026-05-18T01:02:51.985882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07803ab0e98f3c1a057e12ad23a67bac2674282c9505a38d133a6e271f220884

Aliases

arxiv: 1606.05379 · arxiv_version: 1606.05379v3 · doi: 10.48550/arxiv.1606.05379 · pith_short_12: A6ADVMHJR46B · pith_short_16: A6ADVMHJR46BUBL6 · pith_short_8: A6ADVMHJ

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/A6ADVMHJR46BUBL6CKWSHJT3VQ \
  | 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: 07803ab0e98f3c1a057e12ad23a67bac2674282c9505a38d133a6e271f220884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1606580813495d6d3fe15dd833cd163b1945b60d23a15abe5b1fbff5419e4820",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-06-16T22:46:10Z",
    "title_canon_sha256": "2399c0a973a4e784726b36ceac8181a366b08b331280e877b03a75724abb78a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05379",
    "kind": "arxiv",
    "version": 3
  }
}