Pith Number

pith:2KR3QLSU

pith:2025:2KR3QLSU6SHTIR5AL643Y3RTRW

not attested not anchored not stored refs pending

Existence of balanced dualizing dg-modules

Andrew J. Soto Levins, Michael K. Brown, Prashanth Sridhar

arxiv:2506.02398 v1 · 2025-06-03 · math.RA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KR3QLSU6SHTIR5AL643Y3RTRW}

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	2026-07-05T11:14:38.082521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2a3b82e54f48f3447a05fb9bc6e338d852c894fd03391373d3d05e86b004eb4

Aliases

arxiv: 2506.02398 · arxiv_version: 2506.02398v1 · doi: 10.48550/arxiv.2506.02398 · pith_short_12: 2KR3QLSU6SHT · pith_short_16: 2KR3QLSU6SHTIR5A · pith_short_8: 2KR3QLSU

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/2KR3QLSU6SHTIR5AL643Y3RTRW \
  | 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: d2a3b82e54f48f3447a05fb9bc6e338d852c894fd03391373d3d05e86b004eb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7f3fa25cb07a8492af58d5368c0fda84dc502f68868c8dca039a8bc2517e527",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-06-03T03:32:22Z",
    "title_canon_sha256": "c2f4bbdade6899aa0d8c7fba3c1e237d2c721312748cf5b00b11527fbb8a0766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02398",
    "kind": "arxiv",
    "version": 1
  }
}