Pith Number

pith:NNRDKFS7

pith:2011:NNRDKFS7KFEMNC2CVSA3STDLWP

not attested not anchored not stored refs pending

A note on bipartite graph tiling

Andrzej Czygrinow, Louis DeBiasio

arxiv:1104.2099 v1 · 2011-04-12 · 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{NNRDKFS7KFEMNC2CVSA3STDLWP}

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	2026-05-18T02:22:09.818967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b6235165f5148c68b42ac81b94c6bb3e972d7411a4b2e8e594dc918de950571

Aliases

arxiv: 1104.2099 · arxiv_version: 1104.2099v1 · doi: 10.48550/arxiv.1104.2099 · pith_short_12: NNRDKFS7KFEM · pith_short_16: NNRDKFS7KFEMNC2C · pith_short_8: NNRDKFS7

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/NNRDKFS7KFEMNC2CVSA3STDLWP \
  | 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: 6b6235165f5148c68b42ac81b94c6bb3e972d7411a4b2e8e594dc918de950571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e9b7219abc72a66f50eecad14fdd89ec28a548046b3fad77db4a371890034c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-12T01:51:26Z",
    "title_canon_sha256": "0203d5c99b32a87b140b3a4292028a8ea6222a40fce1478c70a7f232f75157dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2099",
    "kind": "arxiv",
    "version": 1
  }
}