Pith Number

pith:E3OBMX6S

pith:2026:E3OBMX6SVWCGWA3ASOM64NANSA

not attested not anchored not stored refs pending

A Parameterized Algorithm for Testing whether the Limit of a Diagram is Empty

Benjamin Merlin Bumpus, Daniel Rosiak, Emilio Minichiello, Ernst Althaus, James Fairbanks

arxiv:2605.24240 v1 · 2026-05-22 · math.CT · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3OBMX6SVWCGWA3ASOM64NANSA}

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	2026-05-26T01:02:54.326423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26dc165fd2ad846b03609399ee340d90381c8b16f1de717a66ce54a25a7e0042

Aliases

arxiv: 2605.24240 · arxiv_version: 2605.24240v1 · doi: 10.48550/arxiv.2605.24240 · pith_short_12: E3OBMX6SVWCG · pith_short_16: E3OBMX6SVWCGWA3A · pith_short_8: E3OBMX6S

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/E3OBMX6SVWCGWA3ASOM64NANSA \
  | 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: 26dc165fd2ad846b03609399ee340d90381c8b16f1de717a66ce54a25a7e0042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32bdb79938512496794c823b008afd3752ee7c027d9505c83a3a07d4821dfb90",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-05-22T21:32:24Z",
    "title_canon_sha256": "474d0c51be31f1496f35b51245d81d2df1b423738a56ab73ecb14e2830f602cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24240",
    "kind": "arxiv",
    "version": 1
  }
}