Pith Number

pith:Z7TLUVHZ

pith:2006:Z7TLUVHZABC3BWHJ7PILEE6GDS

not attested not anchored not stored refs pending

Several comments about the combinatorics of tau-covers

Boaz Tsaban

arxiv:math/0601153 v3 · 2006-01-08 · math.GN · math.CO · 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{Z7TLUVHZABC3BWHJ7PILEE6GDS}

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	2026-05-18T04:37:23.130639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfe6ba54f90045b0d8e9fbd0b213c61cba6a7bf071080ef76f5e4a76dbd2fd5a

Aliases

arxiv: math/0601153 · arxiv_version: math/0601153v3 · doi: 10.48550/arxiv.math/0601153 · pith_short_12: Z7TLUVHZABC3 · pith_short_16: Z7TLUVHZABC3BWHJ · pith_short_8: Z7TLUVHZ

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/Z7TLUVHZABC3BWHJ7PILEE6GDS \
  | 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: cfe6ba54f90045b0d8e9fbd0b213c61cba6a7bf071080ef76f5e4a76dbd2fd5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94a34c502644c2840822a3591bb3a4a1e933d0ed4ff490f523feaf800928c0f0",
    "cross_cats_sorted": [
      "math.CO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2006-01-08T13:32:35Z",
    "title_canon_sha256": "95c98170dbd9d9c84defacd388bc456ae7f5c4d17c0f8eecc9835dba9ede54a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601153",
    "kind": "arxiv",
    "version": 3
  }
}