Pith Number

pith:FZA3AOK7

pith:2007:FZA3AOK7J6L27YOXWDLWMQ5N24

not attested not anchored not stored refs pending

Extremal metrics for spectral functions of Dirac operators in even and odd dimensions

Niels Martin Moller

arxiv:0705.3857 v3 · 2007-05-25 · math.SP · 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{FZA3AOK7J6L27YOXWDLWMQ5N24}

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	2026-05-17T23:51:35.177270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e41b0395f4f97afe1d7b0d76643add72c8f875131b73fae96bc9362176b2191

Aliases

arxiv: 0705.3857 · arxiv_version: 0705.3857v3 · doi: 10.48550/arxiv.0705.3857 · pith_short_12: FZA3AOK7J6L2 · pith_short_16: FZA3AOK7J6L27YOX · pith_short_8: FZA3AOK7

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/FZA3AOK7J6L27YOXWDLWMQ5N24 \
  | 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: 2e41b0395f4f97afe1d7b0d76643add72c8f875131b73fae96bc9362176b2191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "243e013e641066720e9a490094465d1e634f716a09dfedd7a6cbbae4d1df308c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2007-05-25T21:54:30Z",
    "title_canon_sha256": "6fc6b13da8c95f61b6382dcb075cfe20319ef0ef9abfe602ad41f9f41855c4b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.3857",
    "kind": "arxiv",
    "version": 3
  }
}