Pith Number

pith:4QVJCC64

pith:2020:4QVJCC64UTZ5LKGEQNWE63OW2U

not attested not anchored not stored refs pending

Higher derivations of modules and the Hasse-Schmidt module

Christopher Chiu, Luis Narv\'aez Macarro

arxiv:2007.14171 v1 · 2020-07-28 · math.AC · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4QVJCC64UTZ5LKGEQNWE63OW2U}

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	2026-07-05T01:22:56.007371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e42a910bdca4f3d5a8c4836c4f6dd6d52439f795eab78d9d9b00ab6655a774c7

Aliases

arxiv: 2007.14171 · arxiv_version: 2007.14171v1 · doi: 10.48550/arxiv.2007.14171 · pith_short_12: 4QVJCC64UTZ5 · pith_short_16: 4QVJCC64UTZ5LKGE · pith_short_8: 4QVJCC64

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/4QVJCC64UTZ5LKGEQNWE63OW2U \
  | 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: e42a910bdca4f3d5a8c4836c4f6dd6d52439f795eab78d9d9b00ab6655a774c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9365972eb995457e5871480c007b951a33c6e0fbedaf836edf9f72fde976df4",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2020-07-28T12:47:24Z",
    "title_canon_sha256": "4894fcac4d32504216b95b241f19599ceab479c3317083368e4601ee3cde9bf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.14171",
    "kind": "arxiv",
    "version": 1
  }
}