Pith Number

pith:Q7YLCFPT

pith:2025:Q7YLCFPTXZFHWTD2FVSXQCIE2Z

not attested not anchored not stored refs pending

Rooted tree modules

Amit Kuber, Suraj Mishra

arxiv:2508.07435 v1 · 2025-08-10 · 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{Q7YLCFPTXZFHWTD2FVSXQCIE2Z}

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	2026-07-05T11:51:46.242492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87f0b115f3be4a7b4c7a2d65780904d65824597a47ce4a6496b997f1bf2af1d3

Aliases

arxiv: 2508.07435 · arxiv_version: 2508.07435v1 · doi: 10.48550/arxiv.2508.07435 · pith_short_12: Q7YLCFPTXZFH · pith_short_16: Q7YLCFPTXZFHWTD2 · pith_short_8: Q7YLCFPT

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/Q7YLCFPTXZFHWTD2FVSXQCIE2Z \
  | 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: 87f0b115f3be4a7b4c7a2d65780904d65824597a47ce4a6496b997f1bf2af1d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19baaa1e2dd4ab214e7dce7f4b1c1bcfb44c8ec07b9976b54e3c400f5166706a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-08-10T17:14:06Z",
    "title_canon_sha256": "6080b627002c1b9bc6fd6c73f8480a8269b49695431837c9b81be8c44d42493c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.07435",
    "kind": "arxiv",
    "version": 1
  }
}