Pith Number

pith:QC2FVIOL

pith:2025:QC2FVIOLIQBCXKV3WUABALTYRE

not attested not anchored not stored refs pending

Comparing $\mathrm{Add}(M)$ with $\mathrm{Prod}(M)$

Cristian Rafiliu, Simion Breaz

arxiv:2501.08993 v2 · 2025-01-15 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QC2FVIOLIQBCXKV3WUABALTYRE}

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	2026-07-05T10:02:58.550291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80b45aa1cb44022baabbb500102e78891bb936c8037d1b7c6a95ec2596bfd962

Aliases

arxiv: 2501.08993 · arxiv_version: 2501.08993v2 · doi: 10.48550/arxiv.2501.08993 · pith_short_12: QC2FVIOLIQBC · pith_short_16: QC2FVIOLIQBCXKV3 · pith_short_8: QC2FVIOL

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/QC2FVIOLIQBCXKV3WUABALTYRE \
  | 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: 80b45aa1cb44022baabbb500102e78891bb936c8037d1b7c6a95ec2596bfd962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31ebce2d138f167c5cf7abb20e5fb8cdb1b94469dd244e5a3a4beeb1528375f5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-01-15T18:17:29Z",
    "title_canon_sha256": "a333241af542d64fd4425d66fbf3126694a112cae2f00186f716f427f72d12cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.08993",
    "kind": "arxiv",
    "version": 2
  }
}