Pith Number

pith:XMYARI3F

pith:2023:XMYARI3F4ON3NEPVVZ7E5GLJK4

not attested not anchored not stored refs pending

Linking number of monotonic cycles in random book embeddings of complete graphs

Elijah Leake, Emma Harrell, Eric Burkholder, Kenji Kozai, Pedro Morales, Spencer Eddins, Xingyu Cheng, Yasmin Aguillon

arxiv:2301.02082 v1 · 2023-01-05 · math.GT · 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{XMYARI3F4ON3NEPVVZ7E5GLJK4}

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	2026-07-05T05:30:56.693514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb3008a365e39bb691f5ae7e4e99695734ed96172c6be9dcb179d6387027c890

Aliases

arxiv: 2301.02082 · arxiv_version: 2301.02082v1 · doi: 10.48550/arxiv.2301.02082 · pith_short_12: XMYARI3F4ON3 · pith_short_16: XMYARI3F4ON3NEPV · pith_short_8: XMYARI3F

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/XMYARI3F4ON3NEPVVZ7E5GLJK4 \
  | 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: bb3008a365e39bb691f5ae7e4e99695734ed96172c6be9dcb179d6387027c890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f58c5badee929950e7fc9fb75fbf7cf6a7bf01b363e4a63b80c31a0459edf1a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-01-05T14:40:31Z",
    "title_canon_sha256": "ac4c647d28a58de552559dca1fcdbe2601a07e9d6fabb5c17a7ce5572c7a166f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.02082",
    "kind": "arxiv",
    "version": 1
  }
}