Pith Number

pith:FIEGCSBX

pith:2015:FIEGCSBX2RUTZROPEQ4JPCLGWT

not attested not anchored not stored refs pending

DtN isospectrality, flat metrics with non-trivial holonomy and comparison formula for determinants of Laplacian

Alexey Kokotov, Luc Hillairet

arxiv:1511.04774 v1 · 2015-11-15 · 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{FIEGCSBX2RUTZROPEQ4JPCLGWT}

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	2026-05-18T01:26:51.720983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a08614837d4693cc5cf2438978966b4f4d9d726b094dc70584b25e163b01a07

Aliases

arxiv: 1511.04774 · arxiv_version: 1511.04774v1 · doi: 10.48550/arxiv.1511.04774 · pith_short_12: FIEGCSBX2RUT · pith_short_16: FIEGCSBX2RUTZROP · pith_short_8: FIEGCSBX

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/FIEGCSBX2RUTZROPEQ4JPCLGWT \
  | 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: 2a08614837d4693cc5cf2438978966b4f4d9d726b094dc70584b25e163b01a07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f687b6dedc93af41a933a0a5507709a5c7fdd420646808c3868f4ec57aecc2e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-11-15T22:35:43Z",
    "title_canon_sha256": "adc74f04e45f7d9701a7711a303422fa245d5f7746621988ccb141d396426119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04774",
    "kind": "arxiv",
    "version": 1
  }
}