Pith Number

pith:CGVRZOG5

pith:2015:CGVRZOG5T6GHDH7JJATAZLQW2C

not attested not anchored not stored refs pending

Eigenvalue Estimate for the basic Laplacian on manifolds with foliated boundary

Fida EL Chami, Georges Habib, Ola Makhoul, Roger Nakad

arxiv:1512.04683 v1 · 2015-12-15 · 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{CGVRZOG5T6GHDH7JJATAZLQW2C}

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	2026-05-18T01:24:19.671051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11ab1cb8dd9f8c719fe948260cae16d0a01cf6a309698fad2f8527353bd4d807

Aliases

arxiv: 1512.04683 · arxiv_version: 1512.04683v1 · doi: 10.48550/arxiv.1512.04683 · pith_short_12: CGVRZOG5T6GH · pith_short_16: CGVRZOG5T6GHDH7J · pith_short_8: CGVRZOG5

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/CGVRZOG5T6GHDH7JJATAZLQW2C \
  | 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: 11ab1cb8dd9f8c719fe948260cae16d0a01cf6a309698fad2f8527353bd4d807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83ebcdc55272c02167c14fd90a71ec74aebd27622dbc7f8483d7767d0b032328",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-15T08:58:33Z",
    "title_canon_sha256": "3c45d5edb5cae4d3b8357facd0498907ad8fa5cfe2a95e477632b411257a11ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04683",
    "kind": "arxiv",
    "version": 1
  }
}