Pith Number

pith:J2ONABTJ

pith:2007:J2ONABTJ62Z425HMYGR6WE22EK

not attested not anchored not stored refs pending

Category $\mathcal O$ for the Virasoro algebra: Cohomology and Koszulity

Brian D. Boe, Daniel K. Nakano, Emilie Wiesner

arxiv:math/0701644 v3 · 2007-01-23 · 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{J2ONABTJ62Z425HMYGR6WE22EK}

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	2026-05-18T04:08:52.949380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e9cd00669f6b3cd74ecc1a3eb135a2285787031e8f22638a633ccd196693587

Aliases

arxiv: math/0701644 · arxiv_version: math/0701644v3 · doi: 10.48550/arxiv.math/0701644 · pith_short_12: J2ONABTJ62Z4 · pith_short_16: J2ONABTJ62Z425HM · pith_short_8: J2ONABTJ

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/J2ONABTJ62Z425HMYGR6WE22EK \
  | 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: 4e9cd00669f6b3cd74ecc1a3eb135a2285787031e8f22638a633ccd196693587

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3687f8dfdd5c8574e08241c0e3af031ea91504b9782108e4fef439219a06e27",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-01-23T13:03:54Z",
    "title_canon_sha256": "1290e42629515d5f5410f81bcd06009de29d79fcf21655f6cb82477fb222765a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701644",
    "kind": "arxiv",
    "version": 3
  }
}