Pith Number

pith:MUVLGVF5

pith:2003:MUVLGVF5ZPCDYFV2OTZZJUSSRO

not attested not anchored not stored refs pending

$L^2$--eta--invariants and their approximation by unitary eta--invariants

Stefan Friedl

arxiv:math/0305401 v1 · 2003-05-28 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUVLGVF5ZPCDYFV2OTZZJUSSRO}

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	2026-05-18T01:05:28.849936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

652ab354bdcbc43c16ba74f394d2528b8e19565b124a0cc41116da56ab62ece0

Aliases

arxiv: math/0305401 · arxiv_version: math/0305401v1 · doi: 10.48550/arxiv.math/0305401 · pith_short_12: MUVLGVF5ZPCD · pith_short_16: MUVLGVF5ZPCDYFV2 · pith_short_8: MUVLGVF5

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/MUVLGVF5ZPCDYFV2OTZZJUSSRO \
  | 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: 652ab354bdcbc43c16ba74f394d2528b8e19565b124a0cc41116da56ab62ece0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34aa1b1f5c2c582089835146af37e2f58a11548ec7cff762e211661102c73e47",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-05-28T15:20:18Z",
    "title_canon_sha256": "b39bba516a8726b35d5b1358cc9f729e8344028f5fe6293a38918935a0bf9e8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305401",
    "kind": "arxiv",
    "version": 1
  }
}