Pith Number

pith:5LEGCVKK

pith:2023:5LEGCVKKLKIQUVRDYLGUO2Q3SS

not attested not anchored not stored refs pending

Trace formulas in higher dimensions

Alexandr Usachev, Arup Chattopadhyay, Chandan Pradhan, Saikat Giri

arxiv:2303.13298 v6 · 2023-03-23 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5LEGCVKKLKIQUVRDYLGUO2Q3SS}

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	2026-05-20T00:01:31.869215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac861554a5a910a5623c2cd476a1b949d5a626f43a0beb41eb1febd8772b250

Aliases

arxiv: 2303.13298 · arxiv_version: 2303.13298v6 · doi: 10.48550/arxiv.2303.13298 · pith_short_12: 5LEGCVKKLKIQ · pith_short_16: 5LEGCVKKLKIQUVRD · pith_short_8: 5LEGCVKK

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/5LEGCVKKLKIQUVRDYLGUO2Q3SS \
  | 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: eac861554a5a910a5623c2cd476a1b949d5a626f43a0beb41eb1febd8772b250

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbb2f5527e25dd05fc18c8f1a819e7cb2560beba3f8f060c96533ad8637da09b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-03-23T14:30:13Z",
    "title_canon_sha256": "e370a433abec56bcae315b3b0da69e093dd1e78bb3c4aa3bad66e3e2179131a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.13298",
    "kind": "arxiv",
    "version": 6
  }
}