Pith Number

pith:PZEMO56G

pith:2012:PZEMO56GDBZ7RB7JLK4QMMSCQQ

not attested not anchored not stored refs pending

Computational Lower Bounds for Colourful Simplicial Depth

Antoine Deza, Feng Xie, Tamon Stephen

arxiv:1210.7621 v1 · 2012-10-29 · math.CO · 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{PZEMO56GDBZ7RB7JLK4QMMSCQQ}

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	2026-05-18T03:42:09.312794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e48c777c61873f887e95ab9063242841272e0d94160ebb398003da074207140

Aliases

arxiv: 1210.7621 · arxiv_version: 1210.7621v1 · doi: 10.48550/arxiv.1210.7621 · pith_short_12: PZEMO56GDBZ7 · pith_short_16: PZEMO56GDBZ7RB7J · pith_short_8: PZEMO56G

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/PZEMO56GDBZ7RB7JLK4QMMSCQQ \
  | 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: 7e48c777c61873f887e95ab9063242841272e0d94160ebb398003da074207140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a75009bf060f4b78ead661568e0e7a059ae60d4ad0323ef8cfa38b25ee690bb1",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-29T11:08:32Z",
    "title_canon_sha256": "1c4247af5617a99a2a10c20bbbac802d7fe91cb08a0e927d8c0d189d7fc71f08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7621",
    "kind": "arxiv",
    "version": 1
  }
}