Pith Number

pith:IVE76FPR

pith:2006:IVE76FPRKUATX3M2BUVSCWL6NJ

not attested not anchored not stored refs pending

On covering numbers

Zhi-Wei Sun

arxiv:math/0601017 v2 · 2006-01-01 · math.NT · 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{IVE76FPRKUATX3M2BUVSCWL6NJ}

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	2026-07-04T14:52:45.853905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4549ff15f155013bed9a0d2b21597e6a6d525b67c7419f41ecb58b3a5770eb47

Aliases

arxiv: math/0601017 · arxiv_version: math/0601017v2 · doi: 10.48550/arxiv.math/0601017 · pith_short_12: IVE76FPRKUAT · pith_short_16: IVE76FPRKUATX3M2 · pith_short_8: IVE76FPR

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/IVE76FPRKUATX3M2BUVSCWL6NJ \
  | 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: 4549ff15f155013bed9a0d2b21597e6a6d525b67c7419f41ecb58b3a5770eb47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4415ef7214d652be1fe4a2e0321126c4c42b7ae08aa73587e67ab1da27fe1da",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-01-01T23:53:06Z",
    "title_canon_sha256": "4e39b3998e920c6e6ef04229e53e413332f2d32fd64d031b1d66a18ba4cce2e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601017",
    "kind": "arxiv",
    "version": 2
  }
}