Pith Number

pith:V2YN6USN

pith:1997:V2YN6USNVMV6TDHKJTO5JWT7CD

not attested not anchored not stored refs pending

Weak covering and the tree property

Ralf Schindler

arxiv:math/9706205 v1 · 1997-06-11 · 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{V2YN6USNVMV6TDHKJTO5JWT7CD}

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	2026-05-18T01:05:35.268184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeb0df524dab2be98cea4cddd4da7f10dea688ccd23ec68d27d59e6525ded3cd

Aliases

arxiv: math/9706205 · arxiv_version: math/9706205v1 · doi: 10.48550/arxiv.math/9706205 · pith_short_12: V2YN6USNVMV6 · pith_short_16: V2YN6USNVMV6TDHK · pith_short_8: V2YN6USN

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/V2YN6USNVMV6TDHKJTO5JWT7CD \
  | 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: aeb0df524dab2be98cea4cddd4da7f10dea688ccd23ec68d27d59e6525ded3cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4b14bcde7bd4f277c53f54ba37e6837f577a0bc2c5e0f9890a8cc68ee0088f4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1997-06-11T00:00:00Z",
    "title_canon_sha256": "7d478ce9d56ac3b82a1967223c35c1cdc9875571a6ba8b87bad7c26b85466434"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9706205",
    "kind": "arxiv",
    "version": 1
  }
}