Pith Number

pith:YLZX564B

pith:2020:YLZX564BDNXOSW7ZQONK7A3FO5

not attested not anchored not stored refs pending

Packing $A$-paths of length zero modulo a prime

Robin Thomas, Youngho Yoo

arxiv:2009.12230 v2 · 2020-09-23 · 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{YLZX564BDNXOSW7ZQONK7A3FO5}

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	2026-07-05T08:35:32.353270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f37efb811b6ee95bf9839aaf83657755559caac0431a1b3a4885b0a92470c1

Aliases

arxiv: 2009.12230 · arxiv_version: 2009.12230v2 · doi: 10.48550/arxiv.2009.12230 · pith_short_12: YLZX564BDNXO · pith_short_16: YLZX564BDNXOSW7Z · pith_short_8: YLZX564B

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/YLZX564BDNXOSW7ZQONK7A3FO5 \
  | 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: c2f37efb811b6ee95bf9839aaf83657755559caac0431a1b3a4885b0a92470c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c2abb0d72c8f5306742dec0cedd267eabd05a3df030ea4e7f1379b5734ac56f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-09-23T17:21:49Z",
    "title_canon_sha256": "8d915286e3d85bca6daddce8832fd2f9557155cc5507f7a69b60cb4f7e716471"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.12230",
    "kind": "arxiv",
    "version": 2
  }
}