Pith Number

pith:U47QS2YY

pith:2023:U47QS2YYH7RO5I4II226J7ENKW

not attested not anchored not stored refs pending

A survey on algebraic dilatations

Adrien Dubouloz, Arnaud Mayeux, Jo\~ao Pedro dos Santos

arxiv:2306.17003 v2 · 2023-06-29 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U47QS2YYH7RO5I4II226J7ENKW}

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

2 papers in Pith

Formalizing multi-graded Brenner-Schr\"oer Proj schemes and dilatations of rings in Lean4

Homotopy coherent Gysin functoriality

Receipt and verification

First computed	2026-07-05T08:50:07.174448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a73f096b183fe2eea38846b5e4fc8d559a96777894753c46cb2e17ece72da4cb

Aliases

arxiv: 2306.17003 · arxiv_version: 2306.17003v2 · doi: 10.48550/arxiv.2306.17003 · pith_short_12: U47QS2YYH7RO · pith_short_16: U47QS2YYH7RO5I4I · pith_short_8: U47QS2YY

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/U47QS2YYH7RO5I4II226J7ENKW \
  | 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: a73f096b183fe2eea38846b5e4fc8d559a96777894753c46cb2e17ece72da4cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1566c0c8c50c4ccbcd0356445d4b44b7ba043c6c46f7db91811f1862116ecb2",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-06-29T15:01:49Z",
    "title_canon_sha256": "0ac76da3a184810d0aafa084dc8c23b25ec5c175644864a5eb271bc522b10212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.17003",
    "kind": "arxiv",
    "version": 2
  }
}