Pith Number

pith:2GNBYTD5

pith:2008:2GNBYTD5GQK25ACLKVOK7EUIX5

not attested not anchored not stored refs pending

Green's function for the Hodge Laplacian on some classes of Riemannian and Lorentzian symmetric spaces

Alberto Enciso, Niky Kamran

arxiv:0807.2187 v1 · 2008-07-14 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GNBYTD5GQK25ACLKVOK7EUIX5}

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	2026-05-18T02:15:45.161028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d19a1c4c7d3415ae804b555caf9288bf70c497aa672164c3ba1261ae4354658f

Aliases

arxiv: 0807.2187 · arxiv_version: 0807.2187v1 · doi: 10.48550/arxiv.0807.2187 · pith_short_12: 2GNBYTD5GQK2 · pith_short_16: 2GNBYTD5GQK25ACL · pith_short_8: 2GNBYTD5

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/2GNBYTD5GQK25ACLKVOK7EUIX5 \
  | 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: d19a1c4c7d3415ae804b555caf9288bf70c497aa672164c3ba1261ae4354658f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2018aaf611b3efb6fdd005e80a3c0a5a2ac6ee262903ac49bb63638360d84064",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-07-14T15:58:22Z",
    "title_canon_sha256": "7c3963d5cb6c8e8fdd805fc82578a78201f3d691d9ea4a8a756c1fb2f9549f1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2187",
    "kind": "arxiv",
    "version": 1
  }
}