Pith Number

pith:KLG3B6RH

pith:2023:KLG3B6RHL6ST7YUGCA6UEDAQ65

not attested not anchored not stored refs pending

On Auslander`s depth formula

Amit Tripathi, Shashi Ranjan Sinha

arxiv:2302.00035 v1 · 2023-01-31 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLG3B6RHL6ST7YUGCA6UEDAQ65}

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	2026-07-05T05:37:58.682669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52cdb0fa275fa53fe286103d420c10f77fe05efa18737d9f8737f8a5d26b78b9

Aliases

arxiv: 2302.00035 · arxiv_version: 2302.00035v1 · doi: 10.48550/arxiv.2302.00035 · pith_short_12: KLG3B6RHL6ST · pith_short_16: KLG3B6RHL6ST7YUG · pith_short_8: KLG3B6RH

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/KLG3B6RHL6ST7YUGCA6UEDAQ65 \
  | 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: 52cdb0fa275fa53fe286103d420c10f77fe05efa18737d9f8737f8a5d26b78b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "414a5dc075bed641ba48d3eff431df56aaf7d099a169ac5dbd43cbe8f276a8fc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-01-31T19:07:54Z",
    "title_canon_sha256": "55417b0eba848d5b8c5616b2e29dc30bc3f925d009588f6e0ec478153e3a0815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.00035",
    "kind": "arxiv",
    "version": 1
  }
}