Pith Number

pith:MMM5PHQD

pith:2009:MMM5PHQD4FOQEFLGX5BXM2G5UI

not attested not anchored not stored refs pending

Non-commutative Donaldson-Thomas theory and vertex operators

Kentaro Nagao

arxiv:0910.5477 v4 · 2009-10-29 · math.AG · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMM5PHQD4FOQEFLGX5BXM2G5UI}

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	2026-05-18T04:34:55.428542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6319d79e03e15d021566bf437668dda239c545d2f675e285f369804aa16fc51b

Aliases

arxiv: 0910.5477 · arxiv_version: 0910.5477v4 · doi: 10.48550/arxiv.0910.5477 · pith_short_12: MMM5PHQD4FOQ · pith_short_16: MMM5PHQD4FOQEFLG · pith_short_8: MMM5PHQD

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/MMM5PHQD4FOQEFLGX5BXM2G5UI \
  | 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: 6319d79e03e15d021566bf437668dda239c545d2f675e285f369804aa16fc51b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45e387685ce624499a4574fcae990313642667b7b6a6cc103c671bfcdddcc97c",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-10-29T18:35:45Z",
    "title_canon_sha256": "6575c7316b218dc9e716c4bc07aebff72124f167c596328e764255dd879b5316"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5477",
    "kind": "arxiv",
    "version": 4
  }
}