Pith Number

pith:XB4JWFNO

pith:2010:XB4JWFNOJ4GPOOEE6Y3SANLEL7

not attested not anchored not stored refs pending

Various approaches to products of residue currents

H{\aa}kan Samuelsson, Richard L\"ark\"ang

arxiv:1005.2056 v3 · 2010-05-12 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XB4JWFNOJ4GPOOEE6Y3SANLEL7}

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	2026-05-18T03:36:56.876843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8789b15ae4f0cf73884f6372035645fecf8ebef1770936cfc1f1937fe5c9067

Aliases

arxiv: 1005.2056 · arxiv_version: 1005.2056v3 · doi: 10.48550/arxiv.1005.2056 · pith_short_12: XB4JWFNOJ4GP · pith_short_16: XB4JWFNOJ4GPOOEE · pith_short_8: XB4JWFNO

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/XB4JWFNOJ4GPOOEE6Y3SANLEL7 \
  | 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: b8789b15ae4f0cf73884f6372035645fecf8ebef1770936cfc1f1937fe5c9067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0434448224931cc4a56af543bc73bd6770ff026828c2a7668089e1f69e81b55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-05-12T11:30:17Z",
    "title_canon_sha256": "a78d38849f8bcd2e3c4cd605f3cd3e6c3e84540921e07de0ae979f15866c0488"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2056",
    "kind": "arxiv",
    "version": 3
  }
}