Pith Number

pith:UZJCSEZI

pith:2018:UZJCSEZIM7XDG645IJDOKIEW2H

not attested not anchored not stored refs pending

Universality for bounded degree spanning trees in randomly perturbed graphs

Jie Han, Julia B\"ottcher, Olaf Parczyk, Richard Montgomery, Yoshiharu Kohayakawa, Yury Person

arxiv:1802.04707 v2 · 2018-02-13 · 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{UZJCSEZIM7XDG645IJDOKIEW2H}

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	2026-05-17T23:53:51.680149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a65229132867ee337b9d4246e52096d1dfba08d38ad196ac58cb4b322bb4e26f

Aliases

arxiv: 1802.04707 · arxiv_version: 1802.04707v2 · doi: 10.48550/arxiv.1802.04707 · pith_short_12: UZJCSEZIM7XD · pith_short_16: UZJCSEZIM7XDG645 · pith_short_8: UZJCSEZI

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/UZJCSEZIM7XDG645IJDOKIEW2H \
  | 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: a65229132867ee337b9d4246e52096d1dfba08d38ad196ac58cb4b322bb4e26f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "489184d0b116386b09a19a6781850da37125db90f619a97ff8f53705edbbfbde",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-13T16:22:32Z",
    "title_canon_sha256": "597d3935fca9a7e8a401b6466d6b0534eaa58689d5e8d755a38eb7212c858ac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04707",
    "kind": "arxiv",
    "version": 2
  }
}