Pith Number

pith:GQGL3UDH

pith:2017:GQGL3UDHMT4NZ5PQ64MLJ36WAK

not attested not anchored not stored refs pending

Resolvent estimates for spacetimes bounded by Killing horizons

Oran Gannot

arxiv:1705.04251 v3 · 2017-05-11 · math.AP · gr-qc · 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{GQGL3UDHMT4NZ5PQ64MLJ36WAK}

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	2026-05-18T00:03:50.234574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

340cbdd06764f8dcf5f0f718b4efd602859b664b08370f0bb5ece77794bc330c

Aliases

arxiv: 1705.04251 · arxiv_version: 1705.04251v3 · doi: 10.48550/arxiv.1705.04251 · pith_short_12: GQGL3UDHMT4N · pith_short_16: GQGL3UDHMT4NZ5PQ · pith_short_8: GQGL3UDH

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/GQGL3UDHMT4NZ5PQ64MLJ36WAK \
  | 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: 340cbdd06764f8dcf5f0f718b4efd602859b664b08370f0bb5ece77794bc330c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a060a79dd7c6eb63e8c6ad051eb5ad9aadb7866588d4bb0a467dca264b56970c",
    "cross_cats_sorted": [
      "gr-qc",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-11T15:42:52Z",
    "title_canon_sha256": "1e0945089091d57083cc0b806419479c8cdbd791611b2626b8a538b6619c01bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04251",
    "kind": "arxiv",
    "version": 3
  }
}