Pith Number

pith:UPUUUUVT

pith:2019:UPUUUUVTIN67MTCIBLFIZTXFBF

not attested not anchored not stored refs pending

Bounds on the $\alpha$-distance spectrum of graphs

Changjiang Bu, Lizhu Sun, Yang Yang

arxiv:1908.03893 v1 · 2019-08-11 · 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{UPUUUUVTIN67MTCIBLFIZTXFBF}

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	2026-07-04T23:53:19.209734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3e94a52b3437df64c480aca8ccee50975dbee580df22b51b050b0b9b8558a74

Aliases

arxiv: 1908.03893 · arxiv_version: 1908.03893v1 · doi: 10.48550/arxiv.1908.03893 · pith_short_12: UPUUUUVTIN67 · pith_short_16: UPUUUUVTIN67MTCI · pith_short_8: UPUUUUVT

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/UPUUUUVTIN67MTCIBLFIZTXFBF \
  | 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: a3e94a52b3437df64c480aca8ccee50975dbee580df22b51b050b0b9b8558a74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15c050aed16dcbad667bf70f4634fb46de5caf8f1561965a1d1442f350484075",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-11T12:24:58Z",
    "title_canon_sha256": "39a29c38f9fa2c6ed7277926914fb5ad9adbdcec3b387e3ec7811239846b8ce0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03893",
    "kind": "arxiv",
    "version": 1
  }
}