Pith Number

pith:BPVTYT64

pith:2026:BPVTYT64M42GXYRFKBKSTQW3ZY

not attested not anchored not stored refs pending

Total positivity and symmetric spaces

Huanchen Bao

arxiv:2606.25516 v1 · 2026-06-24 · math.RT · math.AG · 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{BPVTYT64M42GXYRFKBKSTQW3ZY}

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	2026-06-25T01:18:07.567342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0beb3c4fdc67346be225505529c2dbce047ce1e83e0f896e399250f7f08e2f67

Aliases

arxiv: 2606.25516 · arxiv_version: 2606.25516v1 · doi: 10.48550/arxiv.2606.25516 · pith_short_12: BPVTYT64M42G · pith_short_16: BPVTYT64M42GXYRF · pith_short_8: BPVTYT64

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/BPVTYT64M42GXYRFKBKSTQW3ZY \
  | 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: 0beb3c4fdc67346be225505529c2dbce047ce1e83e0f896e399250f7f08e2f67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3058d4bb5dfff153b268f64093996529426af2fa3d2009a69c6f1d5704c5bd9",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-24T07:48:19Z",
    "title_canon_sha256": "ef817b74905cc6293539d6a69df9d1739e54b5b0f4cb7ed40df8160458003a71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25516",
    "kind": "arxiv",
    "version": 1
  }
}