Pith Number

pith:7BRC2SHK

pith:1996:7BRC2SHK3V6L4UL4CWZHVMO3EW

not attested not anchored not stored refs pending

Automorphic forms with singularities on Grassmannians

Richard E. Borcherds

arxiv:alg-geom/9609022 v2 · 1996-09-29 · alg-geom · hep-th · 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{7BRC2SHK3V6L4UL4CWZHVMO3EW}

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.

Cited by

1 paper in Pith

Uniqueness of D=8 minimal supergravity with two vector multiplets

Receipt and verification

First computed	2026-05-18T01:40:48.520176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8622d48eadd7cbe517c15b27ab1db25a49b132c6c999b12cb1d6daf719ba419

Aliases

arxiv: alg-geom/9609022 · arxiv_version: alg-geom/9609022v2 · doi: 10.48550/arxiv.alg-geom/9609022 · pith_short_12: 7BRC2SHK3V6L · pith_short_16: 7BRC2SHK3V6L4UL4 · pith_short_8: 7BRC2SHK

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/7BRC2SHK3V6L4UL4CWZHVMO3EW \
  | 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: f8622d48eadd7cbe517c15b27ab1db25a49b132c6c999b12cb1d6daf719ba419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "954aeb0c06a2508867b0765158cf823ce5160ace07918cc9459cb8f0511fde86",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1996-09-29T13:40:00Z",
    "title_canon_sha256": "892865e763a86588401264327cda3e6d9f04f497d211466b791ed2c98c6f6b57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9609022",
    "kind": "arxiv",
    "version": 2
  }
}