Pith Number

pith:EXDESW5E

pith:2010:EXDESW5ERMJIS4YAAKZWBCWERL

not attested not anchored not stored refs pending

Maximal Symmetric Difference-Free Families of Subsets of $[n]$

Anant P. Godbole, Travis G. Buck

arxiv:1010.2711 v1 · 2010-10-13 · 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{EXDESW5ERMJIS4YAAKZWBCWERL}

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	2026-05-18T04:39:19.791101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c6495ba48b1289730002b3608ac48aca4bc3782b62e769f9d7ec3346f6a8e3

Aliases

arxiv: 1010.2711 · arxiv_version: 1010.2711v1 · doi: 10.48550/arxiv.1010.2711 · pith_short_12: EXDESW5ERMJI · pith_short_16: EXDESW5ERMJIS4YA · pith_short_8: EXDESW5E

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/EXDESW5ERMJIS4YAAKZWBCWERL \
  | 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: 25c6495ba48b1289730002b3608ac48aca4bc3782b62e769f9d7ec3346f6a8e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "696107d24b791fe69d1eaf7fb8b47a1cc9cd0bfc88a2ea256b1ad5a6664d18bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-13T17:28:35Z",
    "title_canon_sha256": "8e4fb4928011870f5976b95f6558305ffb89d8aa5434ec786f3ee1766c116b5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2711",
    "kind": "arxiv",
    "version": 1
  }
}