Pith Number

pith:UM4PWWWK

pith:2015:UM4PWWWKZILC52W5KC57USUBBK

not attested not anchored not stored refs pending

Countably compact weakly Whyburn spaces

Santi Spadaro

arxiv:1505.06238 v2 · 2015-05-22 · 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{UM4PWWWKZILC52W5KC57USUBBK}

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	2026-05-18T01:26:34.098565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a338fb5acaca162eeadd50bbfa4a810a972ff983568aadc01d5cf67817bdd39b

Aliases

arxiv: 1505.06238 · arxiv_version: 1505.06238v2 · doi: 10.48550/arxiv.1505.06238 · pith_short_12: UM4PWWWKZILC · pith_short_16: UM4PWWWKZILC52W5 · pith_short_8: UM4PWWWK

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/UM4PWWWKZILC52W5KC57USUBBK \
  | 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: a338fb5acaca162eeadd50bbfa4a810a972ff983568aadc01d5cf67817bdd39b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54a2a852ef31ca5a650bc09e11dd5aea6f26b767b593ad106519561a97c0424a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2015-05-22T22:22:14Z",
    "title_canon_sha256": "16909b91a6ee90c928840897d8c6d6accc91ba070234583ded36d06a27f0a134"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06238",
    "kind": "arxiv",
    "version": 2
  }
}