Pith Number

pith:SR7EDDA3

pith:2021:SR7EDDA36H2VEIWETH6G4LA7AZ

not attested not anchored not stored refs pending

A note on derivatives, expansions and $\Pi^1_1$-ranks

Felipe Garc\'ia-Ramos, Udayan B. Darji

arxiv:2107.09866 v1 · 2021-07-21 · math.LO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SR7EDDA36H2VEIWETH6G4LA7AZ}

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

Dynamical pair assignments

Receipt and verification

First computed	2026-07-05T02:59:40.310751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

947e418c1bf1f55222c499fc6e2c1f0644f0dcbb79c1ac66af86d1c796f02e30

Aliases

arxiv: 2107.09866 · arxiv_version: 2107.09866v1 · doi: 10.48550/arxiv.2107.09866 · pith_short_12: SR7EDDA36H2V · pith_short_16: SR7EDDA36H2VEIWE · pith_short_8: SR7EDDA3

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/SR7EDDA36H2VEIWETH6G4LA7AZ \
  | 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: 947e418c1bf1f55222c499fc6e2c1f0644f0dcbb79c1ac66af86d1c796f02e30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ffe7b4ca0a2e79a39d5aab3835c887e6a4b8f46a3fd4f29656bc4fb549b8f14",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2021-07-21T03:26:30Z",
    "title_canon_sha256": "529d596aba66c33c6c059f158976d2711f7f77d76b4d40000809f483a151ada3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.09866",
    "kind": "arxiv",
    "version": 1
  }
}