Pith Number

pith:EBMKERTY

pith:2017:EBMKERTYUWPVVEVEAWUVQRDFVK

not attested not anchored not stored refs pending

Some intriguing upper bounds for separating hash families

Chong Shangguan, Gennian Ge, Xin Wang

arxiv:1707.01758 v2 · 2017-07-06 · math.CO · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EBMKERTYUWPVVEVEAWUVQRDFVK}

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	2026-05-18T00:07:50.736637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2058a24678a59f5a92a405a9584465aabf80f7d36bb4a2c89e3422a7ba138987

Aliases

arxiv: 1707.01758 · arxiv_version: 1707.01758v2 · doi: 10.48550/arxiv.1707.01758 · pith_short_12: EBMKERTYUWPV · pith_short_16: EBMKERTYUWPVVEVE · pith_short_8: EBMKERTY

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/EBMKERTYUWPVVEVEAWUVQRDFVK \
  | 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: 2058a24678a59f5a92a405a9584465aabf80f7d36bb4a2c89e3422a7ba138987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bf78cbd19c8a528610a8aa3c3a0cfea7b24901031bea9d294e106e9ba0622bc",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-06T12:54:36Z",
    "title_canon_sha256": "9ea312c3ebb2549fcf52ff30adee26e751019714f846e22cb5c5bdf7d38c6695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01758",
    "kind": "arxiv",
    "version": 2
  }
}