Pith Number

pith:EB2YJCWD

pith:2011:EB2YJCWD47F2ONUYNMHWDVQMZW

not attested not anchored not stored refs pending

Abstract composition laws and their modulation spaces

Marius Mantoiu, Radu Purice

arxiv:1107.3344 v2 · 2011-07-18 · 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{EB2YJCWD47F2ONUYNMHWDVQMZW}

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	2026-05-18T00:56:57.773594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2075848ac3e7cba736986b0f61d60ccdba5b4a688ba5b03143ee25f0ce292884

Aliases

arxiv: 1107.3344 · arxiv_version: 1107.3344v2 · doi: 10.48550/arxiv.1107.3344 · pith_short_12: EB2YJCWD47F2 · pith_short_16: EB2YJCWD47F2ONUY · pith_short_8: EB2YJCWD

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/EB2YJCWD47F2ONUYNMHWDVQMZW \
  | 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: 2075848ac3e7cba736986b0f61d60ccdba5b4a688ba5b03143ee25f0ce292884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaed64db0dbf9286af5754b1ec46feda4ddefef83e892ba9fed92ecf7e41936f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-07-18T00:53:40Z",
    "title_canon_sha256": "3d761ececc869e76b85149cbe362f791df3afcafdfc4a0fa3e9417c9b5672746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3344",
    "kind": "arxiv",
    "version": 2
  }
}