Pith Number

pith:4YEGUTSO

pith:2016:4YEGUTSOOX62YH63SQ6YC32S5Z

not attested not anchored not stored refs pending

Strengthening topological colorful results for graphs

Fr\'ed\'eric Meunier, Hossein Hajiabolhassan, Meysam Alishahi

arxiv:1606.02544 v3 · 2016-06-08 · 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{4YEGUTSOOX62YH63SQ6YC32S5Z}

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	2026-05-18T00:47:27.123675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6086a4e4e75fdac1fdb943d816f52ee64661580edf1baa85b423dbb52bf7a3b

Aliases

arxiv: 1606.02544 · arxiv_version: 1606.02544v3 · doi: 10.48550/arxiv.1606.02544 · pith_short_12: 4YEGUTSOOX62 · pith_short_16: 4YEGUTSOOX62YH63 · pith_short_8: 4YEGUTSO

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/4YEGUTSOOX62YH63SQ6YC32S5Z \
  | 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: e6086a4e4e75fdac1fdb943d816f52ee64661580edf1baa85b423dbb52bf7a3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0ee0fcfcc981ab7159c19b056a7623688d4e209c3133282f7c6f401d3857474",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-08T13:19:39Z",
    "title_canon_sha256": "d05e2d6c9fe4dfecc3510ef8087d33b3f9739e658eb1f533dbc65b45ab932fe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02544",
    "kind": "arxiv",
    "version": 3
  }
}