Pith Number

pith:TMJUT5PW

pith:2022:TMJUT5PW4R77ZSPAYA5UGVMU4F

not attested not anchored not stored refs pending

Practical and Structural Infinitary Expansions

Aris Papadopoulos, Nadav Meir

arxiv:2212.08027 v2 · 2022-12-15 · math.LO · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMJUT5PW4R77ZSPAYA5UGVMU4F}

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.

Cited by

1 paper in Pith

Results on Colored Tree Properties

Receipt and verification

First computed	2026-07-05T06:25:38.978382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b1349f5f6e47ffcc9e0c03b435594e155f2e9fa98cfb14541a70537b1816ca7

Aliases

arxiv: 2212.08027 · arxiv_version: 2212.08027v2 · doi: 10.48550/arxiv.2212.08027 · pith_short_12: TMJUT5PW4R77 · pith_short_16: TMJUT5PW4R77ZSPA · pith_short_8: TMJUT5PW

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/TMJUT5PW4R77ZSPAYA5UGVMU4F \
  | 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: 9b1349f5f6e47ffcc9e0c03b435594e155f2e9fa98cfb14541a70537b1816ca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e431da2db6dd9c4ac9d81017e2ea2a3ab539b0e72f1ec8fcc3b6cfd92cb8002",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2022-12-15T18:36:58Z",
    "title_canon_sha256": "77ec3572b1ae1c6f5b43e9f016007f86daad7b578cec37fe9efa6a8d03312823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.08027",
    "kind": "arxiv",
    "version": 2
  }
}