Pith Number

pith:2Y5PC7WA

pith:2025:2Y5PC7WAFDWMRJEDMYM2ITDZ4G

not attested not anchored not stored refs pending

Signatures of Type $A$ Root Systems

Hung Manh Tran, Michael Cuntz, Shuhei Tsujie, Tan Nhat Tran

arxiv:2504.05423 v1 · 2025-04-07 · 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{2Y5PC7WAFDWMRJEDMYM2ITDZ4G}

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	2026-07-05T10:45:42.197679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d63af17ec028ecc8a4836619a44c79e1be1c1f2b6872b47d352ec167f5c3daa1

Aliases

arxiv: 2504.05423 · arxiv_version: 2504.05423v1 · doi: 10.48550/arxiv.2504.05423 · pith_short_12: 2Y5PC7WAFDWM · pith_short_16: 2Y5PC7WAFDWMRJED · pith_short_8: 2Y5PC7WA

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/2Y5PC7WAFDWMRJEDMYM2ITDZ4G \
  | 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: d63af17ec028ecc8a4836619a44c79e1be1c1f2b6872b47d352ec167f5c3daa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58c7954c54704c960e1af9edf7945febd520096b36294b894cd5baa502296423",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-07T18:45:50Z",
    "title_canon_sha256": "c014c647d5f4571b40c9525e44f4f52ec0b66d0ebbc185d13baa4e669d63e845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.05423",
    "kind": "arxiv",
    "version": 1
  }
}