Pith Number

pith:KOPTPCNJ

pith:2015:KOPTPCNJ3P4FTSMWTBXGRJT353

not attested not anchored not stored refs pending

Rational differential forms on line and singular vectors in Verma modules over $\widehat {sl}_2$

Alexander Varchenko, Vadim Schechtman

arxiv:1511.09014 v2 · 2015-11-29 · math.AG · math-ph · math.MP · 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{KOPTPCNJ3P4FTSMWTBXGRJT353}

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	2026-05-18T00:50:22.816295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

539f3789a9dbf859c996986e68a67beecb2113264db7d69239eed52a1b0e6aaf

Aliases

arxiv: 1511.09014 · arxiv_version: 1511.09014v2 · doi: 10.48550/arxiv.1511.09014 · pith_short_12: KOPTPCNJ3P4F · pith_short_16: KOPTPCNJ3P4FTSMW · pith_short_8: KOPTPCNJ

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/KOPTPCNJ3P4FTSMWTBXGRJT353 \
  | 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: 539f3789a9dbf859c996986e68a67beecb2113264db7d69239eed52a1b0e6aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74d63690a311bcfc529443dc8f80b7cfa057c518fec651da72dd031d1d570c63",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-29T13:40:58Z",
    "title_canon_sha256": "024456b1e971b2de29060a3ebde7b31ce5577b3ba0341d2806a586fc0ebe699b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09014",
    "kind": "arxiv",
    "version": 2
  }
}