Pith Number

pith:QILEGFNT

pith:2002:QILEGFNT7MIHPG2ZE3MLH4HTGK

not attested not anchored not stored refs pending

Asymptotic Behavior of Polarized and Half-Polarized U(1) symmetric Vacuum Spacetimes

James Isenberg, Vince Moncrief

arxiv:gr-qc/0203042 v1 · 2002-03-12 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QILEGFNT7MIHPG2ZE3MLH4HTGK}

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	2026-07-04T16:33:42.436612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82164315b3fb10779b5926d8b3f0f3328ac0c6c60bd445de3a47f786216db018

Aliases

arxiv: gr-qc/0203042 · arxiv_version: gr-qc/0203042v1 · doi: 10.48550/arxiv.gr-qc/0203042 · pith_short_12: QILEGFNT7MIH · pith_short_16: QILEGFNT7MIHPG2Z · pith_short_8: QILEGFNT

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/QILEGFNT7MIHPG2ZE3MLH4HTGK \
  | 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: 82164315b3fb10779b5926d8b3f0f3328ac0c6c60bd445de3a47f786216db018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fc0ed01e53afb9d0f3776dbf8baf54432a06f956b6a0fb1231fddee18722a13",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-03-12T20:11:33Z",
    "title_canon_sha256": "9f45790bfcd01f4253eadaf6916e5390ce1293f8e739051d6357d8afd032932e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0203042",
    "kind": "arxiv",
    "version": 1
  }
}