Pith Number

pith:PUB6ZKJ5

pith:1995:PUB6ZKJ5J4CSVWKVASCZLKXA5H

not attested not anchored not stored refs pending

Values of indefinite quadratic forms at integral points and flows on spaces of lattices

Armand Borel

arxiv:math/9504223 v1 · 1995-04-01 · math.NT · 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{PUB6ZKJ5J4CSVWKVASCZLKXA5H}

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	2026-05-18T01:05:50.202510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d03eca93d4f052ad955048595aae0e9ead528989ffcc5b163783dd990907a05

Aliases

arxiv: math/9504223 · arxiv_version: math/9504223v1 · doi: 10.48550/arxiv.math/9504223 · pith_short_12: PUB6ZKJ5J4CS · pith_short_16: PUB6ZKJ5J4CSVWKV · pith_short_8: PUB6ZKJ5

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/PUB6ZKJ5J4CSVWKVASCZLKXA5H \
  | 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: 7d03eca93d4f052ad955048595aae0e9ead528989ffcc5b163783dd990907a05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09c8dc2b8b1a074712491825993bf29965dd6f67f5cf88bba9fbc2a222382af2",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "1995-04-01T00:00:00Z",
    "title_canon_sha256": "96b259759458dc56b7130601d4baa311f2a25639839d3a4243b24832e354e23e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9504223",
    "kind": "arxiv",
    "version": 1
  }
}