Pith Number

pith:3C4W6U6V

pith:2012:3C4W6U6VZWVARWRVXO2XQLOVAT

not attested not anchored not stored refs pending

Empty Monochromatic Simplices

Clemens Huemer, Jorge Urrutia, Oswin Aichholzer, Ruy Fabila-Monroy, Thomas Hackl

arxiv:1210.7043 v1 · 2012-10-26 · math.CO · cs.CG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3C4W6U6VZWVARWRVXO2XQLOVAT}

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	2026-05-18T03:42:21.886989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8b96f53d5cdaa08da35bbb5782dd504ecf3f9427fbf791d1908ac98c6c28bb3

Aliases

arxiv: 1210.7043 · arxiv_version: 1210.7043v1 · doi: 10.48550/arxiv.1210.7043 · pith_short_12: 3C4W6U6VZWVA · pith_short_16: 3C4W6U6VZWVARWRV · pith_short_8: 3C4W6U6V

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/3C4W6U6VZWVARWRVXO2XQLOVAT \
  | 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: d8b96f53d5cdaa08da35bbb5782dd504ecf3f9427fbf791d1908ac98c6c28bb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d3b40625403b7c8f62e310a971bbf4e28d11bd2bea168bfbbbee4074c772a12",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-26T02:36:35Z",
    "title_canon_sha256": "36e4cc35c1174db42cd2b145e218b0a02f8e856f0bc213c26c7a454b4d86e7fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7043",
    "kind": "arxiv",
    "version": 1
  }
}