Pith Number

pith:GY3FTSJQ

pith:2007:GY3FTSJQIKHXGRYQHHMMRP3OFF

not attested not anchored not stored refs pending

Linear and nonlinear tails II: exact decay rates in spherical symmetry

Andrzej Rostworowski, Nikodem Szpak, Piotr Bizo\'n, Tadeusz Chmaj

arxiv:0712.0493 v1 · 2007-12-04 · math-ph · gr-qc · 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{GY3FTSJQIKHXGRYQHHMMRP3OFF}

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	2026-05-18T04:26:21.711879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

363659c930428f73471039d8c8bf6e295759be619f16efe20025fb5cfe86add1

Aliases

arxiv: 0712.0493 · arxiv_version: 0712.0493v1 · doi: 10.48550/arxiv.0712.0493 · pith_short_12: GY3FTSJQIKHX · pith_short_16: GY3FTSJQIKHXGRYQ · pith_short_8: GY3FTSJQ

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/GY3FTSJQIKHXGRYQHHMMRP3OFF \
  | 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: 363659c930428f73471039d8c8bf6e295759be619f16efe20025fb5cfe86add1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c37f48a64b5de16fbdde718e05cd1c0c0350087ccfb97c79fbb148ac64e97a4",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-12-04T11:46:02Z",
    "title_canon_sha256": "5ee41f19444523e35f3663ad4ebb47f888acc3f8a15cb61b671ca5c1d0c16b06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0493",
    "kind": "arxiv",
    "version": 1
  }
}