Pith Number

pith:TDLDOGEW

pith:2024:TDLDOGEW2CGE2GD32VRHJE5DI4

not attested not anchored not stored refs pending

Computing Direct Sum Decompositions

Devlin Mallory, Mahrud Sayrafi

arxiv:2412.19799 v2 · 2024-12-27 · math.AC · 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{TDLDOGEW2CGE2GD32VRHJE5DI4}

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	2026-05-28T02:04:39.607001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98d6371896d08c4d187bd5627493a3471cd04b6d803c165ec31085daa7a63fe7

Aliases

arxiv: 2412.19799 · arxiv_version: 2412.19799v2 · doi: 10.48550/arxiv.2412.19799 · pith_short_12: TDLDOGEW2CGE · pith_short_16: TDLDOGEW2CGE2GD3 · pith_short_8: TDLDOGEW

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/TDLDOGEW2CGE2GD32VRHJE5DI4 \
  | 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: 98d6371896d08c4d187bd5627493a3471cd04b6d803c165ec31085daa7a63fe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "619832ec3dc5159e5524ffe39f1ccf22204babefc466ef501a8b8c75a8513dfa",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-12-27T18:57:35Z",
    "title_canon_sha256": "0c95d1a1b73c13b15278f8e1bf10c6b87317057c3dbbd29348fa06350b53025e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19799",
    "kind": "arxiv",
    "version": 2
  }
}