Pith Number

pith:EILADK3R

pith:2018:EILADK3RNWRIVDBXH23XPWQIS4

not attested not anchored not stored refs pending

Solutions to the Einstein constraint equations with a small TT-tensor and vanishing Yamabe invariant

Romain Gicquaud

arxiv:1802.05080 v2 · 2018-02-14 · math.AP · gr-qc · 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{EILADK3RNWRIVDBXH23XPWQIS4}

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	2026-05-18T00:23:16.117155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

221601ab716da28a8c373eb777da089735907d88ff18b74176ff76f297031686

Aliases

arxiv: 1802.05080 · arxiv_version: 1802.05080v2 · doi: 10.48550/arxiv.1802.05080 · pith_short_12: EILADK3RNWRI · pith_short_16: EILADK3RNWRIVDBX · pith_short_8: EILADK3R

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/EILADK3RNWRIVDBXH23XPWQIS4 \
  | 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: 221601ab716da28a8c373eb777da089735907d88ff18b74176ff76f297031686

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44ea1d8ddb30262bfe8c039afaf7b6181cdff9029ede994ff744a9c1c94ad8a1",
    "cross_cats_sorted": [
      "gr-qc",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-14T13:08:31Z",
    "title_canon_sha256": "e924746403d5062269219920852366006f7e99f4c4cc8bf8504a42e0225c4d05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05080",
    "kind": "arxiv",
    "version": 2
  }
}