Pith Number

pith:Q7UAWTUV

pith:2018:Q7UAWTUVIMUUJNHE4WYSGLGLJ4

not attested not anchored not stored refs pending

A note on the cross-index of a complete graph based on a linear tree

Ayaka Shimizu, Hayato Katsumata, Katsuya Nakajima, Yoshiro Yaguchi, Yusuke Gokan

arxiv:1801.05197 v2 · 2018-01-16 · 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{Q7UAWTUVIMUUJNHE4WYSGLGLJ4}

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	2026-05-18T00:17:59.673405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87e80b4e95432944b4e4e5b1232ccb4f1cf1beea30dd89483f97fcc84bba0382

Aliases

arxiv: 1801.05197 · arxiv_version: 1801.05197v2 · doi: 10.48550/arxiv.1801.05197 · pith_short_12: Q7UAWTUVIMUU · pith_short_16: Q7UAWTUVIMUUJNHE · pith_short_8: Q7UAWTUV

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/Q7UAWTUVIMUUJNHE4WYSGLGLJ4 \
  | 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: 87e80b4e95432944b4e4e5b1232ccb4f1cf1beea30dd89483f97fcc84bba0382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b518af9c725ae320c32aeac0b5223ca7a5f036bcca2bf4757bcd3aa54d2ddf0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-01-16T10:35:58Z",
    "title_canon_sha256": "ee64f4fb1293d1e9011a073cf1c7b6b28506afae86a5db1326b9c563053ce8c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05197",
    "kind": "arxiv",
    "version": 2
  }
}