Pith Number

pith:CDAL3TKY

pith:1997:CDAL3TKYTPEAZ4IZYBT3IKQGXI

not attested not anchored not stored refs pending

A dichotomy on Schreier sets

Robert Judd

arxiv:math/9706209 v1 · 1997-06-05 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDAL3TKYTPEAZ4IZYBT3IKQGXI}

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	2026-05-18T01:05:35.243638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10c0bdcd589bc80cf119c067b42a06ba1b8b1ca33bb08ff1c60a7eff98702ec4

Aliases

arxiv: math/9706209 · arxiv_version: math/9706209v1 · doi: 10.48550/arxiv.math/9706209 · pith_short_12: CDAL3TKYTPEA · pith_short_16: CDAL3TKYTPEAZ4IZ · pith_short_8: CDAL3TKY

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/CDAL3TKYTPEAZ4IZYBT3IKQGXI \
  | 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: 10c0bdcd589bc80cf119c067b42a06ba1b8b1ca33bb08ff1c60a7eff98702ec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22090f64d1f8303762b92c7e3fb5b9d5e829f2e7f5c4d46dede0b3d811be93fb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1997-06-05T00:00:00Z",
    "title_canon_sha256": "70b094b26ad10d33c54ac9b387860e26000802d72e37d7492aee5d9915a84ce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9706209",
    "kind": "arxiv",
    "version": 1
  }
}