Pith Number

pith:226BOQ2Y

pith:2016:226BOQ2Y4GHQVFWJUI4ULC2LWI

not attested not anchored not stored refs pending

Eliminating Higher-Multiplicity Intersections, II. The Deleted Product Criterion in the $r$-Metastable Range

Isaac Mabillard, Uli Wagner

arxiv:1601.00876 v2 · 2016-01-05 · math.GT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{226BOQ2Y4GHQVFWJUI4ULC2LWI}

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	2026-05-18T01:02:04.627943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6bc174358e18f0a96c9a239458b4bb232d16f4595c1118d5aea4228a12cfbe0

Aliases

arxiv: 1601.00876 · arxiv_version: 1601.00876v2 · doi: 10.48550/arxiv.1601.00876 · pith_short_12: 226BOQ2Y4GHQ · pith_short_16: 226BOQ2Y4GHQVFWJ · pith_short_8: 226BOQ2Y

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/226BOQ2Y4GHQVFWJUI4ULC2LWI \
  | 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: d6bc174358e18f0a96c9a239458b4bb232d16f4595c1118d5aea4228a12cfbe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca010ef432e698cc7d5d7b060d8d9185da7dbce916d6c806c328162af212f51f",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-01-05T15:56:53Z",
    "title_canon_sha256": "7a7fff5561615f2a625c6d306cd2254c87b972c4401ae2fa0537a0d3a3edd424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00876",
    "kind": "arxiv",
    "version": 2
  }
}