Pith Number

pith:GBL2G7WC

pith:2013:GBL2G7WCXLK237EKEMLFS6DI2L

not attested not anchored not stored refs pending

On Permutations with Bounded Drop Size

Joanna N. Chen, William Y.C. Chen

arxiv:1306.5428 v1 · 2013-06-23 · 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{GBL2G7WCXLK237EKEMLFS6DI2L}

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	2026-05-18T03:20:08.142819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3057a37ec2bad5adfc8a2316597868d2e1db9c031aa2be5e6c208b7231324b5d

Aliases

arxiv: 1306.5428 · arxiv_version: 1306.5428v1 · doi: 10.48550/arxiv.1306.5428 · pith_short_12: GBL2G7WCXLK2 · pith_short_16: GBL2G7WCXLK237EK · pith_short_8: GBL2G7WC

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/GBL2G7WCXLK237EKEMLFS6DI2L \
  | 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: 3057a37ec2bad5adfc8a2316597868d2e1db9c031aa2be5e6c208b7231324b5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8327ae65c5e861561e49beab9f3a1165c9a22f3a5a47cc4059d6c96578e695b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-23T16:01:43Z",
    "title_canon_sha256": "5c8512ec851905dcc096b634f9e262b85067a9f0cd15a4c8a4c07ea355062f4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5428",
    "kind": "arxiv",
    "version": 1
  }
}