Pith Number

pith:E3ZCD6XG

pith:2016:E3ZCD6XGNOND4PLAU7TGNMY7TQ

not attested not anchored not stored refs pending

Separating hash families: A Johnson-type bound and new constructions

Chong Shangguan, Gennian Ge

arxiv:1601.04807 v2 · 2016-01-19 · cs.DM · cs.IT · math.CO · 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{E3ZCD6XGNOND4PLAU7TGNMY7TQ}

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	2026-05-18T01:01:28.800862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26f221fae66b9a3e3d60a7e666b31f9c37ee3c496abdf371e11b1109513fba1a

Aliases

arxiv: 1601.04807 · arxiv_version: 1601.04807v2 · doi: 10.48550/arxiv.1601.04807 · pith_short_12: E3ZCD6XGNOND · pith_short_16: E3ZCD6XGNOND4PLA · pith_short_8: E3ZCD6XG

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/E3ZCD6XGNOND4PLAU7TGNMY7TQ \
  | 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: 26f221fae66b9a3e3d60a7e666b31f9c37ee3c496abdf371e11b1109513fba1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcd9919d9176260ee909972f7e3d078af786a12719bbc4033ccbc4be17e3bf77",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-01-19T06:35:30Z",
    "title_canon_sha256": "aadb63d0eccdee51fcaa66b6c07f19b8be17f2f286841644c6fc9fc1d0a60c0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04807",
    "kind": "arxiv",
    "version": 2
  }
}