Pith Number

pith:5ECJGSMG

pith:2020:5ECJGSMG6Q7SS6R3KEK6T5RAC4

not attested not anchored not stored refs pending

Cut Bounds for Some Weighted Graphs

Bo Bai, Chicheng Ma, Guanghui Wang, Guiying Yan, Yucong Tang

arxiv:2009.12003 v2 · 2020-09-25 · 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{5ECJGSMG6Q7SS6R3KEK6T5RAC4}

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	2026-07-05T01:38:41.859733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e904934986f43f297a3b5115e9f6201701a2068c593c491c746f8942ae38867c

Aliases

arxiv: 2009.12003 · arxiv_version: 2009.12003v2 · doi: 10.48550/arxiv.2009.12003 · pith_short_12: 5ECJGSMG6Q7S · pith_short_16: 5ECJGSMG6Q7SS6R3 · pith_short_8: 5ECJGSMG

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/5ECJGSMG6Q7SS6R3KEK6T5RAC4 \
  | 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: e904934986f43f297a3b5115e9f6201701a2068c593c491c746f8942ae38867c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "579ef92353c0d08577fb306ead752cbd992e0e76e2f981852a633d796bc7bd90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-09-25T02:03:57Z",
    "title_canon_sha256": "6e7b319fbfaa4ffb9e7912869e0b27be0063c3d3aa80ccec64652879b73061c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.12003",
    "kind": "arxiv",
    "version": 2
  }
}