Pith Number

pith:IHPIMKGE

pith:2021:IHPIMKGE2NVW3JSNLAUZV7U3RW

not attested not anchored not stored refs pending

Condensed Mathematics: The internal Hom of condensed sets and condensed abelian groups and a prismatic construction of the real numbers

Rodrigo Marlasca Aparicio

arxiv:2109.07816 v1 · 2021-09-16 · 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{IHPIMKGE2NVW3JSNLAUZV7U3RW}

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.

Cited by

1 paper in Pith

Infinitary combinatorics in condensed math and strong homology

Receipt and verification

First computed	2026-07-05T03:15:01.521024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41de8628c4d36b6da64d58299afe9b8d98f2164f8911df170d51f6973df59dfe

Aliases

arxiv: 2109.07816 · arxiv_version: 2109.07816v1 · doi: 10.48550/arxiv.2109.07816 · pith_short_12: IHPIMKGE2NVW · pith_short_16: IHPIMKGE2NVW3JSN · pith_short_8: IHPIMKGE

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/IHPIMKGE2NVW3JSNLAUZV7U3RW \
  | 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: 41de8628c4d36b6da64d58299afe9b8d98f2164f8911df170d51f6973df59dfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd9e6ce03b65d062992f6ed0b79ba9fc7d48c381cbcc4e9af1b9da2b5ea0c7f5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2021-09-16T08:59:19Z",
    "title_canon_sha256": "960ae1c82939ac8cd10ac381f8e284c1692afba7bf6235d4ae9827cc1e31ea48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.07816",
    "kind": "arxiv",
    "version": 1
  }
}