Pith Number

pith:GXA4YTCQ

pith:2006:GXA4YTCQNMO6UNS452DZLI4TPR

not attested not anchored not stored refs pending

The constraint equations for the Einstein-scalar field system on compact manifolds

Daniel Pollack, James Isenberg, Yvonne Choquet-Bruhat

arxiv:gr-qc/0610045 v2 · 2006-10-10 · gr-qc · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXA4YTCQNMO6UNS452DZLI4TPR}

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	2026-07-04T15:17:02.653356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35c1cc4c506b1dea365cee8795a3937c4a3c5566a865e750e7329bd2000a3934

Aliases

arxiv: gr-qc/0610045 · arxiv_version: gr-qc/0610045v2 · doi: 10.48550/arxiv.gr-qc/0610045 · pith_short_12: GXA4YTCQNMO6 · pith_short_16: GXA4YTCQNMO6UNS4 · pith_short_8: GXA4YTCQ

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/GXA4YTCQNMO6UNS452DZLI4TPR \
  | 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: 35c1cc4c506b1dea365cee8795a3937c4a3c5566a865e750e7329bd2000a3934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bc6d72966ab413277d34e1275541ca3d465b3436e28940f4032dba48cedded5",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-10-10T14:40:37Z",
    "title_canon_sha256": "3f052efad5e14c031970d151e85b66d08066316a210a4af58cbb6c33cafdb287"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0610045",
    "kind": "arxiv",
    "version": 2
  }
}