Pith Number

pith:D4QVRMCZ

pith:2021:D4QVRMCZL4CWVMGXEIBQXYA72K

not attested not anchored not stored refs pending

Exchange properties of finite set-systems

D\"om\"ot\"or P\'alv\"olgyi, J\'anos Pach, Peter Frankl

arxiv:2103.14358 v3 · 2021-03-26 · 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{D4QVRMCZL4CWVMGXEIBQXYA72K}

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	2026-07-05T04:48:33.814908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f2158b0595f056ab0d722030be01fd2a6e486e2bd84b41c5817dea402c2abc8

Aliases

arxiv: 2103.14358 · arxiv_version: 2103.14358v3 · doi: 10.48550/arxiv.2103.14358 · pith_short_12: D4QVRMCZL4CW · pith_short_16: D4QVRMCZL4CWVMGX · pith_short_8: D4QVRMCZ

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/D4QVRMCZL4CWVMGXEIBQXYA72K \
  | 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: 1f2158b0595f056ab0d722030be01fd2a6e486e2bd84b41c5817dea402c2abc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3ffeaaa7bc05f7fc4bacabe0c07aa6eeba39dc5fafdeafaa4eafc8a301c60ae",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-03-26T09:57:17Z",
    "title_canon_sha256": "a743bdb566ef1227aa10963dc31329ca02ad525483c61f68e09798afe8edd37b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.14358",
    "kind": "arxiv",
    "version": 3
  }
}