Pith Number

pith:7Q7CUCZG

pith:2017:7Q7CUCZGHO2LBLGDFVPHAYHUOR

not attested not anchored not stored refs pending

Efficient Removal without Efficient Regularity

Asaf Shapira, Lior Gishboliner

arxiv:1709.08159 v1 · 2017-09-24 · 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{7Q7CUCZGHO2LBLGDFVPHAYHUOR}

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	2026-05-18T00:34:27.820994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc3e2a0b263bb4b0acc32d5e7060f474420c13e29388ffbf8108c3c5fcf6ca7d

Aliases

arxiv: 1709.08159 · arxiv_version: 1709.08159v1 · doi: 10.48550/arxiv.1709.08159 · pith_short_12: 7Q7CUCZGHO2L · pith_short_16: 7Q7CUCZGHO2LBLGD · pith_short_8: 7Q7CUCZG

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/7Q7CUCZGHO2LBLGDFVPHAYHUOR \
  | 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: fc3e2a0b263bb4b0acc32d5e7060f474420c13e29388ffbf8108c3c5fcf6ca7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cf8d45dcfd4589323e470f4b74c6e7986dcb343f6a2d6e3f4aaee42771f8cc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-24T07:46:16Z",
    "title_canon_sha256": "db4c66a5eb307958ba300cb8a3a19fe3bdf7d320328020bc2d127c1d02614d69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08159",
    "kind": "arxiv",
    "version": 1
  }
}