Pith Number

pith:TL5HQ3MV

pith:2019:TL5HQ3MVFS2KDKA5UHZ3ZV5QUC

not attested not anchored not stored refs pending

Relative Spectral Invariants of Elliptic Operators on Manifolds

Ivan G. Avramidi

arxiv:1908.01265 v2 · 2019-08-04 · math-ph · math.DG · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TL5HQ3MVFS2KDKA5UHZ3ZV5QUC}

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	2026-07-05T01:57:35.787791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9afa786d952cb4a1a81da1f3bcd7b0a0947ed14aefb70dea427983e830da6dcb

Aliases

arxiv: 1908.01265 · arxiv_version: 1908.01265v2 · doi: 10.48550/arxiv.1908.01265 · pith_short_12: TL5HQ3MVFS2K · pith_short_16: TL5HQ3MVFS2KDKA5 · pith_short_8: TL5HQ3MV

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/TL5HQ3MVFS2KDKA5UHZ3ZV5QUC \
  | 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: 9afa786d952cb4a1a81da1f3bcd7b0a0947ed14aefb70dea427983e830da6dcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96e33e0860ab325c5b5c3711a811aee0e7890884c331de2f5b2f601c42b537e6",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-04T03:39:26Z",
    "title_canon_sha256": "c84dcc72a67b277563235d5ccf768d2eae0ebf6275261a3d28b60c8c616bc54f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01265",
    "kind": "arxiv",
    "version": 2
  }
}