Pith Number

pith:IRDYKZWN

pith:2025:IRDYKZWNX47KRCJOHBSDDCF7XP

not attested not anchored not stored refs pending

Dimensions of toggleability spaces

Ben Adenbaum, Nicholas Mayers, Spencer Daugherty

arxiv:2508.14974 v1 · 2025-08-20 · 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{IRDYKZWNX47KRCJOHBSDDCF7XP}

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	2026-07-05T11:57:04.367138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44478566cdbf3ea8892e38643188bfbbd58e7aec8242ec95fe1afe348c1d5ace

Aliases

arxiv: 2508.14974 · arxiv_version: 2508.14974v1 · doi: 10.48550/arxiv.2508.14974 · pith_short_12: IRDYKZWNX47K · pith_short_16: IRDYKZWNX47KRCJO · pith_short_8: IRDYKZWN

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/IRDYKZWNX47KRCJOHBSDDCF7XP \
  | 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: 44478566cdbf3ea8892e38643188bfbbd58e7aec8242ec95fe1afe348c1d5ace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b42dde1ebc42d7201d42a920d63574254ea605d05a4d18b5a2f586a15b7ec92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-20T18:00:05Z",
    "title_canon_sha256": "6d1e8f06a22a4f64a9d6fe2192797150cf203372de56fc21544bf1c628ac4a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.14974",
    "kind": "arxiv",
    "version": 1
  }
}