Pith Number

pith:CJ7USQEX

pith:2023:CJ7USQEX2WBTSSNXMQG2FWKQEV

not attested not anchored not stored refs pending

Automating Weight Function Generation in Graph Pebbling

Carl Yerger, Dominic Flocco, Jonad Pulaj

arxiv:2312.12618 v1 · 2023-12-19 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJ7USQEX2WBTSSNXMQG2FWKQEV}

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	2026-07-05T07:26:23.798242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

127f494097d5833949b7640da2d9502566582d667ccf7900d14355c669de9de7

Aliases

arxiv: 2312.12618 · arxiv_version: 2312.12618v1 · doi: 10.48550/arxiv.2312.12618 · pith_short_12: CJ7USQEX2WBT · pith_short_16: CJ7USQEX2WBTSSNX · pith_short_8: CJ7USQEX

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/CJ7USQEX2WBTSSNXMQG2FWKQEV \
  | 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: 127f494097d5833949b7640da2d9502566582d667ccf7900d14355c669de9de7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82bda08e0fcc0668634602ea2087f8c30f23b7f227722fbedf90f1bfc1bd2ebd",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-12-19T21:52:45Z",
    "title_canon_sha256": "e1ef132dbe77505c4cd77a13687dab120f1cacfae5f687da8cd5a321f62d4f65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.12618",
    "kind": "arxiv",
    "version": 1
  }
}