Pith Number

pith:YW6VBW52

pith:2022:YW6VBW52LXULGFAKM5VAVXFQPQ

not attested not anchored not stored refs pending

Antipaths in oriented graphs

Maya Stein, Tereza Klimo\v{s}ov\'a

arxiv:2212.09876 v2 · 2022-12-19 · 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{YW6VBW52LXULGFAKM5VAVXFQPQ}

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	2026-07-05T07:41:37.998407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5bd50dbba5de8b3140a676a0adcb07c1a3a6bf6f2d34d2265e4e7ce26173ce6

Aliases

arxiv: 2212.09876 · arxiv_version: 2212.09876v2 · doi: 10.48550/arxiv.2212.09876 · pith_short_12: YW6VBW52LXUL · pith_short_16: YW6VBW52LXULGFAK · pith_short_8: YW6VBW52

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/YW6VBW52LXULGFAKM5VAVXFQPQ \
  | 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: c5bd50dbba5de8b3140a676a0adcb07c1a3a6bf6f2d34d2265e4e7ce26173ce6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3647db93c3a29089c5a44e39c7f2feffcffd07182f0c45f47fec3943e4ebe6c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-12-19T21:54:42Z",
    "title_canon_sha256": "9ebe16bfe9f4c6faf3305be60eab662b9abb0d6073112a23151bad92f17120bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.09876",
    "kind": "arxiv",
    "version": 2
  }
}