Pith Number

pith:MB2GK7GW

pith:2003:MB2GK7GWGPXCTO2UU7SE7VWWMQ

not attested not anchored not stored refs pending

Prescribing eigenvalues of the Dirac operator

Mattias Dahl

arxiv:math/0311172 v3 · 2003-11-11 · 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{MB2GK7GWGPXCTO2UU7SE7VWWMQ}

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	2026-05-18T04:17:13.931273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6074657cd633ee29bb54a7e44fd6d6640b111e862da9cbf569ea4ba607aa7b48

Aliases

arxiv: math/0311172 · arxiv_version: math/0311172v3 · doi: 10.48550/arxiv.math/0311172 · pith_short_12: MB2GK7GWGPXC · pith_short_16: MB2GK7GWGPXCTO2U · pith_short_8: MB2GK7GW

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/MB2GK7GWGPXCTO2UU7SE7VWWMQ \
  | 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: 6074657cd633ee29bb54a7e44fd6d6640b111e862da9cbf569ea4ba607aa7b48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bde9d38dfd6df8522741cc7e4caad3993c201eed9b35b082e5d834114a44fbd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2003-11-11T17:42:58Z",
    "title_canon_sha256": "2edb543b540c0e690fe7eeb05a05947efe8c8fc58b175d11181a36d87f968534"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311172",
    "kind": "arxiv",
    "version": 3
  }
}