Pith Number

pith:K6AFHXTH

pith:2019:K6AFHXTHRP6V36UROCJPJN6BJQ

not attested not anchored not stored refs pending

Hausdorff coalgebras

Dirk Hofmann, Pedro Nora

arxiv:1908.04380 v1 · 2019-08-12 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K6AFHXTHRP6V36UROCJPJN6BJQ}

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	2026-07-04T23:54:30.236346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

578053de678bfd5dfa917092f4b7c14c1528662c4d35d555421a3368a5a9c535

Aliases

arxiv: 1908.04380 · arxiv_version: 1908.04380v1 · doi: 10.48550/arxiv.1908.04380 · pith_short_12: K6AFHXTHRP6V · pith_short_16: K6AFHXTHRP6V36UR · pith_short_8: K6AFHXTH

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/K6AFHXTHRP6V36UROCJPJN6BJQ \
  | 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: 578053de678bfd5dfa917092f4b7c14c1528662c4d35d555421a3368a5a9c535

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52f93d783ac0f4458308ac2032966751cb8d5b4c97cb2a540ff2ac2c4a36c039",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-08-12T21:00:31Z",
    "title_canon_sha256": "da8fcfea52c550d0ef8df7f183fe017d14be47c797610c0acc366220d7b37d80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04380",
    "kind": "arxiv",
    "version": 1
  }
}