Pith Number

pith:NDCALY54

pith:2015:NDCALY54HOZHCEMFE52JWUOTUL

not attested not anchored not stored refs pending

Fredholm modules and the Beilinson-Bloch regulator

Eugene Ha, Victor Kasatkin

arxiv:1509.02864 v2 · 2015-09-09 · math.OA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDCALY54HOZHCEMFE52JWUOTUL}

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	2026-05-18T01:32:18.185296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68c405e3bc3bb271118527749b51d3a2f7603505acbef95e3b340610a7b44808

Aliases

arxiv: 1509.02864 · arxiv_version: 1509.02864v2 · doi: 10.48550/arxiv.1509.02864 · pith_short_12: NDCALY54HOZH · pith_short_16: NDCALY54HOZHCEMF · pith_short_8: NDCALY54

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/NDCALY54HOZHCEMFE52JWUOTUL \
  | 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: 68c405e3bc3bb271118527749b51d3a2f7603505acbef95e3b340610a7b44808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "624d67456e9e2f963846975d5d1ab865827bacce8790d34913406aa910ce78bf",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-09-09T17:40:08Z",
    "title_canon_sha256": "ceb3d3a63f8692f3698dc2e22db6c4559a8315496792dc6f334e7f3d18b4cfc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02864",
    "kind": "arxiv",
    "version": 2
  }
}