Pith Number

pith:TFZ5AURL

pith:1993:TFZ5AURLN7E3UUVEQWCYS6P3L6

not attested not anchored not stored refs pending

Affine Gelfand-Dickey brackets and holomorphic vector bundles

Boris Khesin, Pavel Etingof

arxiv:hep-th/9312123 v2 · 1993-12-14 · 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{TFZ5AURLN7E3UUVEQWCYS6P3L6}

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	2026-07-04T15:07:35.240485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9973d0522b6fc9ba52a485858979fb5f8dde0cd74f287867403a491db4a06c80

Aliases

arxiv: hep-th/9312123 · arxiv_version: hep-th/9312123v2 · doi: 10.48550/arxiv.hep-th/9312123 · pith_short_12: TFZ5AURLN7E3 · pith_short_16: TFZ5AURLN7E3UUVE · pith_short_8: TFZ5AURL

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/TFZ5AURLN7E3UUVEQWCYS6P3L6 \
  | 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: 9973d0522b6fc9ba52a485858979fb5f8dde0cd74f287867403a491db4a06c80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aeac1fc2d48132307667875cdd679418d25a2a01e8e84ad19980955319faab9",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-12-14T18:21:50Z",
    "title_canon_sha256": "1ff843c7c83a9252936cb17c470b39cc1a045a5bb99e798d8f3834c3a57918e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9312123",
    "kind": "arxiv",
    "version": 2
  }
}