Pith Number

pith:QHRPUXX2

pith:2011:QHRPUXX2KMA4WFPYXABX36UI5E

not attested not anchored not stored refs pending

Chains of Baire class 1 functions and various notions of special trees

Juris Stepr\=ans, M\'arton Elekes

arxiv:1109.5283 v2 · 2011-09-24 · math.LO · math.CA · 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{QHRPUXX2KMA4WFPYXABX36UI5E}

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	2026-05-18T04:12:09.994966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81e2fa5efa5301cb15f8b8037dfa88e93a842c2f0b01e6b97948e6be22e76341

Aliases

arxiv: 1109.5283 · arxiv_version: 1109.5283v2 · doi: 10.48550/arxiv.1109.5283 · pith_short_12: QHRPUXX2KMA4 · pith_short_16: QHRPUXX2KMA4WFPY · pith_short_8: QHRPUXX2

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/QHRPUXX2KMA4WFPYXABX36UI5E \
  | 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: 81e2fa5efa5301cb15f8b8037dfa88e93a842c2f0b01e6b97948e6be22e76341

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d2f06b190fafd6044743bc5fd5df12f1132a41b5f87a37e5bf51c7f743798b",
    "cross_cats_sorted": [
      "math.CA",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-09-24T16:19:15Z",
    "title_canon_sha256": "94bef71e45549922ed0073ad2caaea74ff79bf8eaa28c5349e92380801675548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5283",
    "kind": "arxiv",
    "version": 2
  }
}