Pith Number

pith:XYBUFBAJ

pith:2023:XYBUFBAJUGMXTS3I6IOENBK3V7

not attested not anchored not stored refs pending

PGL orbits in tree varieties

Chris Yun, Demir Eken, Izzet Coskun

arxiv:2307.09265 v1 · 2023-07-18 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYBUFBAJUGMXTS3I6IOENBK3V7}

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	2026-07-05T06:32:14.864934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be03428409a19979cb68f21c46855bafcecea91ad3d70534c76c3272ecb397a0

Aliases

arxiv: 2307.09265 · arxiv_version: 2307.09265v1 · doi: 10.48550/arxiv.2307.09265 · pith_short_12: XYBUFBAJUGMX · pith_short_16: XYBUFBAJUGMXTS3I · pith_short_8: XYBUFBAJ

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/XYBUFBAJUGMXTS3I6IOENBK3V7 \
  | 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: be03428409a19979cb68f21c46855bafcecea91ad3d70534c76c3272ecb397a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48102e4c4e030eef048fff7820002d9a7228e36ada8334c41dccd72833145d5e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-07-18T13:49:11Z",
    "title_canon_sha256": "0f37d8b936cffc09dd839383539c1d269915680fbea0db160c4d58e4f28d0703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.09265",
    "kind": "arxiv",
    "version": 1
  }
}