Pith Number

pith:CUQJ3JTI

pith:2019:CUQJ3JTI4M4OGBMLLV65RKKR55

not attested not anchored not stored refs pending

Decompositions of set-valued mappings

Igor Protasov

arxiv:1908.03911 v2 · 2019-08-11 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUQJ3JTI4M4OGBMLLV65RKKR55}

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	2026-07-05T00:15:49.809158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15209da668e338e3058b5d7dd8a951ef6be2be9e8bbdf251cfe9d338cafa6555

Aliases

arxiv: 1908.03911 · arxiv_version: 1908.03911v2 · doi: 10.48550/arxiv.1908.03911 · pith_short_12: CUQJ3JTI4M4O · pith_short_16: CUQJ3JTI4M4OGBML · pith_short_8: CUQJ3JTI

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/CUQJ3JTI4M4OGBMLLV65RKKR55 \
  | 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: 15209da668e338e3058b5d7dd8a951ef6be2be9e8bbdf251cfe9d338cafa6555

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "904a53cd0cbb5c4c643690f3e6db6c4c48c78e380c44589766ccbd3f9f8a19de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-08-11T14:11:22Z",
    "title_canon_sha256": "26f3c987d62e54297c970c445ec683b5e9d176924c68dd829c01d2dcc0adb5b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03911",
    "kind": "arxiv",
    "version": 2
  }
}