Pith Number

pith:OBPLCAQN

pith:2012:OBPLCAQNHQ5Q5WUVUJVUUDZPKZ

not attested not anchored not stored refs pending

An Instability Index Theory for Quadratic Pencils and Applications

Jared Bronski, Mathew A. Johnson, Todd Kapitula

arxiv:1207.3764 v1 · 2012-07-16 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OBPLCAQNHQ5Q5WUVUJVUUDZPKZ}

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	2026-05-18T03:50:59.581769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

705eb1020d3c3b0eda95a26b4a0f2f565cfba40a94c608c279cd5d5321b7d111

Aliases

arxiv: 1207.3764 · arxiv_version: 1207.3764v1 · doi: 10.48550/arxiv.1207.3764 · pith_short_12: OBPLCAQNHQ5Q · pith_short_16: OBPLCAQNHQ5Q5WUV · pith_short_8: OBPLCAQN

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/OBPLCAQNHQ5Q5WUVUJVUUDZPKZ \
  | 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: 705eb1020d3c3b0eda95a26b4a0f2f565cfba40a94c608c279cd5d5321b7d111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97e43649e373982c2483fe35c00a9eb1e3b62cd1f8fd129eab010b784ed45801",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-16T18:51:06Z",
    "title_canon_sha256": "2c5c23077c4b0c3963f6c850aac474e16c66b1632e0ca449fe140d196caa017d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3764",
    "kind": "arxiv",
    "version": 1
  }
}