Pith Number

pith:AYXU57NV

pith:2018:AYXU57NVPXN4SSBTPRRKD5ZXQ2

not attested not anchored not stored refs pending

Decomposition and classification of length functions

Dario Spirito

arxiv:1807.06396 v1 · 2018-07-17 · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYXU57NVPXN4SSBTPRRKD5ZXQ2}

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	2026-05-18T00:10:33.173557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

062f4efdb57ddbc948337c62a1f7378699f518547e7c232691d3ee11672f7241

Aliases

arxiv: 1807.06396 · arxiv_version: 1807.06396v1 · doi: 10.48550/arxiv.1807.06396 · pith_short_12: AYXU57NVPXN4 · pith_short_16: AYXU57NVPXN4SSBT · pith_short_8: AYXU57NV

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/AYXU57NVPXN4SSBTPRRKD5ZXQ2 \
  | 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: 062f4efdb57ddbc948337c62a1f7378699f518547e7c232691d3ee11672f7241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27d5295dcfe44f6132613527ae66d86e8463f8a2ab67d30061940f7613108c3e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-07-17T13:00:45Z",
    "title_canon_sha256": "13329020fab7b588be6ab4c4d1719c938227f8b90a56dfacf166196cd2180034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06396",
    "kind": "arxiv",
    "version": 1
  }
}