Pith Number

pith:CR4YMM3M

pith:2018:CR4YMM3M3VSW5C43WYJE3KJPE7

not attested not anchored not stored refs pending

On the deformation of ball packings

Huabin Ge, Liangming Shen, Wenshuai Jiang

arxiv:1805.10573 v1 · 2018-05-27 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CR4YMM3M3VSW5C43WYJE3KJPE7}

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	2026-05-18T00:14:52.034328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

147986336cdd656e8b9bb6124da92f27f4a03d6e9c4ccaaebb277ff4fd7d245a

Aliases

arxiv: 1805.10573 · arxiv_version: 1805.10573v1 · doi: 10.48550/arxiv.1805.10573 · pith_short_12: CR4YMM3M3VSW · pith_short_16: CR4YMM3M3VSW5C43 · pith_short_8: CR4YMM3M

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/CR4YMM3M3VSW5C43WYJE3KJPE7 \
  | 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: 147986336cdd656e8b9bb6124da92f27f4a03d6e9c4ccaaebb277ff4fd7d245a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f39d0bf98c497f0fda16cfb5925652731332156e457c10919a1cf557557ad4b2",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-05-27T03:01:54Z",
    "title_canon_sha256": "fbf7fbb7516a3c28db7f995071acc4851307354eede4cc68c70c2b2066e247d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10573",
    "kind": "arxiv",
    "version": 1
  }
}