Pith Number

pith:HQCS2IMR

pith:2011:HQCS2IMRQW7NRJROZCYKZBOE6O

not attested not anchored not stored refs pending

PFA(S)[S] and the Arhangel'skii-Tall problem

Franklin D. Tall

arxiv:1104.2795 v1 · 2011-04-14 · math.GN · 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{HQCS2IMRQW7NRJROZCYKZBOE6O}

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	2026-05-18T04:24:05.717516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c052d219185bed8a62ec8b0ac85c4f3acba565f32e7678b5109364e649f280d

Aliases

arxiv: 1104.2795 · arxiv_version: 1104.2795v1 · doi: 10.48550/arxiv.1104.2795 · pith_short_12: HQCS2IMRQW7N · pith_short_16: HQCS2IMRQW7NRJRO · pith_short_8: HQCS2IMR

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/HQCS2IMRQW7NRJROZCYKZBOE6O \
  | 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: 3c052d219185bed8a62ec8b0ac85c4f3acba565f32e7678b5109364e649f280d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3f5d4378e1f52335adc47e957a22467f573daacadf8c67e9a381d140efe82ed",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-04-14T15:10:16Z",
    "title_canon_sha256": "83c24df53d052f8b4bb72d67bc44afea19ef2ff08c40d3c715eaa2af121af59c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2795",
    "kind": "arxiv",
    "version": 1
  }
}