Pith Number

pith:HQ3MEIZG

pith:2013:HQ3MEIZG4IBC5S2ZW5RB2KH2TI

not attested not anchored not stored refs pending

Local energy decay for Maxwell fields part I: Spherically symmetric black-hole backgrounds

Daniel Tataru, Jacob Sterbenz

arxiv:1305.5261 v2 · 2013-05-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HQ3MEIZG4IBC5S2ZW5RB2KH2TI}

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	2026-05-18T02:51:23.393004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c36c22326e2022ecb59b7621d28fa9a1cafa311a3776ec276020f6a451c5395

Aliases

arxiv: 1305.5261 · arxiv_version: 1305.5261v2 · doi: 10.48550/arxiv.1305.5261 · pith_short_12: HQ3MEIZG4IBC · pith_short_16: HQ3MEIZG4IBC5S2Z · pith_short_8: HQ3MEIZG

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/HQ3MEIZG4IBC5S2ZW5RB2KH2TI \
  | 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: 3c36c22326e2022ecb59b7621d28fa9a1cafa311a3776ec276020f6a451c5395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39b309e4c1caaa4b44ea90eefb4f1344b8c12b8feab7ab981b78c82cf0898967",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-22T20:16:28Z",
    "title_canon_sha256": "a7c60e425e209e9c51127b78f43cf280b6bf81f8c2a9c91cd47cdd0b67ea3430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5261",
    "kind": "arxiv",
    "version": 2
  }
}