Pith Number

pith:PYIO3F7Q

pith:2016:PYIO3F7QB6NDLG7LKLAI6OCBJJ

not attested not anchored not stored refs pending

Constructing MASAs with prescribed properties

Sorin Popa

arxiv:1610.08945 v4 · 2016-10-27 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYIO3F7QB6NDLG7LKLAI6OCBJJ}

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	2026-05-17T23:40:36.833941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e10ed97f00f9a359beb52c08f38414a466c5bb98170ee0507994483e5d771ed

Aliases

arxiv: 1610.08945 · arxiv_version: 1610.08945v4 · doi: 10.48550/arxiv.1610.08945 · pith_short_12: PYIO3F7QB6ND · pith_short_16: PYIO3F7QB6NDLG7L · pith_short_8: PYIO3F7Q

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/PYIO3F7QB6NDLG7LKLAI6OCBJJ \
  | 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: 7e10ed97f00f9a359beb52c08f38414a466c5bb98170ee0507994483e5d771ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "948781ad2599adfb7e5ffce706346569a5c33356fab4bef7730f5dd12ab64d42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-10-27T19:27:40Z",
    "title_canon_sha256": "7edfe7cb4cfd6dd1766041363bd34ef6efe4326194979e372de93f74f5e74e4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08945",
    "kind": "arxiv",
    "version": 4
  }
}