Pith Number

pith:K6PHH53D

pith:1998:K6PHH53DI5Z3ASG5EDQGNQ2OO5

not attested not anchored not stored refs pending

Semicontinuity of the spectrum at infinity

Andras Nemethi, Claude Sabbah

arxiv:math/9805086 v1 · 1998-05-20 · 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{K6PHH53DI5Z3ASG5EDQGNQ2OO5}

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	2026-05-18T04:32:09.850980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

579e73f7634773b048dd20e066c34e77413f802022be240f00693c44d5d6ffb0

Aliases

arxiv: math/9805086 · arxiv_version: math/9805086v1 · doi: 10.48550/arxiv.math/9805086 · pith_short_12: K6PHH53DI5Z3 · pith_short_16: K6PHH53DI5Z3ASG5 · pith_short_8: K6PHH53D

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/K6PHH53DI5Z3ASG5EDQGNQ2OO5 \
  | 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: 579e73f7634773b048dd20e066c34e77413f802022be240f00693c44d5d6ffb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7487ceec484fec4e052b3b24d65a9d2e54261f86da59d35eb0e2d239a3a9cf32",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-05-20T08:06:33Z",
    "title_canon_sha256": "a8c5936451a74f8328552d5761be3d379b3ab552f24be4d9961207d2ffd7c669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9805086",
    "kind": "arxiv",
    "version": 1
  }
}