Pith Number

pith:J3GB52RR

pith:2011:J3GB52RRVMYSBYM7BNDUBUU4AM

not attested not anchored not stored refs pending

Additive decomposability of functions over abelian groups

Erkko Lehtonen, Miguel Couceiro, Tam\'as Waldhauser

arxiv:1105.3464 v1 · 2011-05-17 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3GB52RRVMYSBYM7BNDUBUU4AM}

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	2026-05-18T03:29:38.700125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ecc1eea31ab3120e19f0b4740d29c032301b18fe4633d3b478fdf42d15a0140

Aliases

arxiv: 1105.3464 · arxiv_version: 1105.3464v1 · doi: 10.48550/arxiv.1105.3464 · pith_short_12: J3GB52RRVMYS · pith_short_16: J3GB52RRVMYSBYM7 · pith_short_8: J3GB52RR

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/J3GB52RRVMYSBYM7BNDUBUU4AM \
  | 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: 4ecc1eea31ab3120e19f0b4740d29c032301b18fe4633d3b478fdf42d15a0140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1984b950ad55ec3e1da7f509c79dde63522d0afaa0869e35697788b9e21bef60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-17T19:35:13Z",
    "title_canon_sha256": "be6312c806fc5cbfbeda7f74f7d8872c05d7bf792bd9ad3e2cfe0d2a712bead8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3464",
    "kind": "arxiv",
    "version": 1
  }
}