Pith Number

pith:V7SZRFGL

pith:2001:V7SZRFGLPC3ACQ6HNI2PFETCV3

not attested not anchored not stored refs pending

Eigenvalue estimates for the Dirac-Schr\"odinger operators

Bertrand Morel

arxiv:math/0101111 v1 · 2001-01-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7SZRFGLPC3ACQ6HNI2PFETCV3}

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	2026-05-18T01:38:30.078450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afe59894cb78b60143c76a34f29262aed3ac68e1ec1fb2b98bfecb975862f71d

Aliases

arxiv: math/0101111 · arxiv_version: math/0101111v1 · doi: 10.48550/arxiv.math/0101111 · pith_short_12: V7SZRFGLPC3A · pith_short_16: V7SZRFGLPC3ACQ6H · pith_short_8: V7SZRFGL

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/V7SZRFGLPC3ACQ6HNI2PFETCV3 \
  | 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: afe59894cb78b60143c76a34f29262aed3ac68e1ec1fb2b98bfecb975862f71d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53beb79dedbdbf39060800f9994d904de2d95922236a04c2066963d49836efb6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2001-01-12T16:26:11Z",
    "title_canon_sha256": "c3589f3dbb785d576aea2c22f7a982de61bd7cfa43d7cbf281366617f7735355"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0101111",
    "kind": "arxiv",
    "version": 1
  }
}