Pith Number

pith:QWERNDSM

pith:2013:QWERNDSMPJSMEXDRZD4QDJQYRT

not attested not anchored not stored refs pending

Homogenization of the spectral equation in one-dimension

Matthieu Brassart, Michel Lenczner, Thi Trang Nguyen

arxiv:1310.4064 v1 · 2013-10-15 · 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{QWERNDSMPJSMEXDRZD4QDJQYRT}

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	2026-05-18T03:10:25.171870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8589168e4c7a64c25c71c8f901a6188ccea1b70d46c573c0a0fd52cb1cfe0d3e

Aliases

arxiv: 1310.4064 · arxiv_version: 1310.4064v1 · doi: 10.48550/arxiv.1310.4064 · pith_short_12: QWERNDSMPJSM · pith_short_16: QWERNDSMPJSMEXDR · pith_short_8: QWERNDSM

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/QWERNDSMPJSMEXDRZD4QDJQYRT \
  | 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: 8589168e4c7a64c25c71c8f901a6188ccea1b70d46c573c0a0fd52cb1cfe0d3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9002f9a0432d500278ea66a60cfe0c309939cb4736f4b145537ab6185b8fc757",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-15T14:17:37Z",
    "title_canon_sha256": "151a7c4c5ee79b5d4076c0a7294ae69f3f4b2505b8ffdc999da2e983937dfdd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4064",
    "kind": "arxiv",
    "version": 1
  }
}