Pith Number

pith:NPHIVYGH

pith:2017:NPHIVYGHXKYNKA5564WXFNBABK

not attested not anchored not stored refs pending

High-frequency backreaction for the Einstein equations under polarized $\mathbb U(1)$ symmetry

C\'ecile Huneau, Jonathan Luk

arxiv:1706.09501 v1 · 2017-06-28 · gr-qc · 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{NPHIVYGHXKYNKA5564WXFNBABK}

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	2026-05-17T23:56:48.612133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bce8ae0c7bab0d503bdf72d72b4200ab4db2df685087efee2b62fe6ca42ec82

Aliases

arxiv: 1706.09501 · arxiv_version: 1706.09501v1 · doi: 10.48550/arxiv.1706.09501 · pith_short_12: NPHIVYGHXKYN · pith_short_16: NPHIVYGHXKYNKA55 · pith_short_8: NPHIVYGH

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/NPHIVYGHXKYNKA5564WXFNBABK \
  | 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: 6bce8ae0c7bab0d503bdf72d72b4200ab4db2df685087efee2b62fe6ca42ec82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb68d1fb740742ae2a70e2911e412e007d6d21996a6938848d2f95484b2fa806",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-06-28T22:26:48Z",
    "title_canon_sha256": "8649ff71b890eefb7ddce36b78340af3992cb0b90dfe0f62424f7f3dc4022266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09501",
    "kind": "arxiv",
    "version": 1
  }
}