Pith Number

pith:WNZZIYGA

pith:2005:WNZZIYGAXPIWHUT2OBWNP7UFTS

not attested not anchored not stored refs pending

Half polarized U(1) symmetric vacuum spacetimes with AVTD behavior

James Isenberg, Yvonne Choquet-Bruhat

arxiv:gr-qc/0506066 v1 · 2005-06-10 · 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{WNZZIYGAXPIWHUT2OBWNP7UFTS}

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	2026-07-04T16:55:15.407577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3739460c0bbd163d27a706cd7fe859cb5e3a823b2960b49643a2c9aed316a01

Aliases

arxiv: gr-qc/0506066 · arxiv_version: gr-qc/0506066v1 · doi: 10.48550/arxiv.gr-qc/0506066 · pith_short_12: WNZZIYGAXPIW · pith_short_16: WNZZIYGAXPIWHUT2 · pith_short_8: WNZZIYGA

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/WNZZIYGAXPIWHUT2OBWNP7UFTS \
  | 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: b3739460c0bbd163d27a706cd7fe859cb5e3a823b2960b49643a2c9aed316a01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8410c0469f8cc3593ab52ec2ff5d40efc2195b256ece2634f86d40cf0bfb1542",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-06-10T19:08:04Z",
    "title_canon_sha256": "6c2f060cbbc7ddce1e28d6f3d188a4bd3c9f368b788e8ed9962894c50d30c249"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0506066",
    "kind": "arxiv",
    "version": 1
  }
}