Pith Number

pith:TKDPMQ55

pith:2026:TKDPMQ55TFAZMCVLVABPOMIWUS

not attested not anchored not stored refs pending

Primariness and the Primary Factorisation Property

Antonio Acuaviva, Tomasz Kania

arxiv:2605.21711 v1 · 2026-05-20 · 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{TKDPMQ55TFAZMCVLVABPOMIWUS}

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	2026-05-22T01:03:28.951625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a86f643bd9941960aaba802f73116a4b6d04c921afb712f3aae6006b6516a48

Aliases

arxiv: 2605.21711 · arxiv_version: 2605.21711v1 · doi: 10.48550/arxiv.2605.21711 · pith_short_12: TKDPMQ55TFAZ · pith_short_16: TKDPMQ55TFAZMCVL · pith_short_8: TKDPMQ55

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/TKDPMQ55TFAZMCVLVABPOMIWUS \
  | 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: 9a86f643bd9941960aaba802f73116a4b6d04c921afb712f3aae6006b6516a48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49479c2e34a5b4a03f985f906ed247c58002efd21be78979e9713ee52e7b5b0a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-20T20:14:33Z",
    "title_canon_sha256": "da56e5ba717b5ed2d98c5c510b41d328cbaf49bbecc31de2a7d6b3b2284136c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21711",
    "kind": "arxiv",
    "version": 1
  }
}