Pith Number

pith:57ZPSHG4

pith:2017:57ZPSHG4NW5AX7P4K2FAQWKHXS

not attested not anchored not stored refs pending

Dual Logic Concepts based on Mathematical Morphology in Stratified Institutions: Applications to Spatial Reasoning

Isabelle Bloch, Marc Aiguier

arxiv:1710.05661 v1 · 2017-10-16 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57ZPSHG4NW5AX7P4K2FAQWKHXS}

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	2026-05-18T00:32:48.608651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eff2f91cdc6dba0bfdfc568a085947bca6dd0af6714befae96ae6aa0be73b19d

Aliases

arxiv: 1710.05661 · arxiv_version: 1710.05661v1 · doi: 10.48550/arxiv.1710.05661 · pith_short_12: 57ZPSHG4NW5A · pith_short_16: 57ZPSHG4NW5AX7P4 · pith_short_8: 57ZPSHG4

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/57ZPSHG4NW5AX7P4K2FAQWKHXS \
  | 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: eff2f91cdc6dba0bfdfc568a085947bca6dd0af6714befae96ae6aa0be73b19d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cd22a6f3ad1286e4dec9537fd9ea94f5a81fc9326de0bc983e921edcfa8ade2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2017-10-16T12:50:03Z",
    "title_canon_sha256": "814915bcc38fa47bde428ca86e52e825f5f264ab3ddb94e3599dda10ed86b457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05661",
    "kind": "arxiv",
    "version": 1
  }
}