Pith Number

pith:RAAFSGMN

pith:2021:RAAFSGMNRDJ3IHIV7YG7TREWI2

not attested not anchored not stored refs pending

Empty simplices of large width

Benjamin Nill, Francisco Santos, Joseph Doolittle, Lukas Katth\"an

arxiv:2103.14925 v2 · 2021-03-27 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAAFSGMNRDJ3IHIV7YG7TREWI2}

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	2026-07-05T10:08:58.147896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

880059198d88d3b41d15fe0df9c49646b851d85a1f8fb2c4b599a38306a49377

Aliases

arxiv: 2103.14925 · arxiv_version: 2103.14925v2 · doi: 10.48550/arxiv.2103.14925 · pith_short_12: RAAFSGMNRDJ3 · pith_short_16: RAAFSGMNRDJ3IHIV · pith_short_8: RAAFSGMN

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/RAAFSGMNRDJ3IHIV7YG7TREWI2 \
  | 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: 880059198d88d3b41d15fe0df9c49646b851d85a1f8fb2c4b599a38306a49377

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aeb6a56ba77a497f453ce16872d19ede956e199b54555373be05163a67c6937",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-03-27T14:57:37Z",
    "title_canon_sha256": "86c8d76f6091c3ddbb0a48ce797977bd271373516f3bdf55c4b8873404526628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.14925",
    "kind": "arxiv",
    "version": 2
  }
}