Pith Number

pith:VRIJSPSP

pith:2016:VRIJSPSPF2VYSSKZJCIQWAYEVU

not attested not anchored not stored refs pending

Limits in Categories of Vietoris Coalgebras

Dirk Hofmann, Pedro Nora, Renato Neves

arxiv:1612.03318 v2 · 2016-12-10 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRIJSPSPF2VYSSKZJCIQWAYEVU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:51:21.730814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac50993e4f2eab89495948910b0304ad3c700e73e4c154cd98fcdd8707c3e8d3

Aliases

arxiv: 1612.03318 · arxiv_version: 1612.03318v2 · doi: 10.48550/arxiv.1612.03318 · pith_short_12: VRIJSPSPF2VY · pith_short_16: VRIJSPSPF2VYSSKZ · pith_short_8: VRIJSPSP

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/VRIJSPSPF2VYSSKZJCIQWAYEVU \
  | 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: ac50993e4f2eab89495948910b0304ad3c700e73e4c154cd98fcdd8707c3e8d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef75eb3675dfa01ecf6ea3e3ca717d0623ab80ebb18f08f235e8ec995cc1da5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-12-10T16:35:56Z",
    "title_canon_sha256": "f68267caa4d507ffef8a39a62cc93cc8dd7e2f6e2b9d5439fb13b7657217a837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03318",
    "kind": "arxiv",
    "version": 2
  }
}