Pith Number

pith:ECGDD3Q3

pith:2017:ECGDD3Q3BKPHJABC4Y55WGD5LX

not attested not anchored not stored refs pending

Behavior of vacuum and naked singularity under smooth gauge function in Lyra geometry

Haizhao Zhi

arxiv:1705.04191 v5 · 2017-05-10 · 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{ECGDD3Q3BKPHJABC4Y55WGD5LX}

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	2026-05-18T00:26:16.417181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

208c31ee1b0a9e748022e63bdb187d5de89315a91c9f688683d21a52ffbdf5bc

Aliases

arxiv: 1705.04191 · arxiv_version: 1705.04191v5 · doi: 10.48550/arxiv.1705.04191 · pith_short_12: ECGDD3Q3BKPH · pith_short_16: ECGDD3Q3BKPHJABC · pith_short_8: ECGDD3Q3

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/ECGDD3Q3BKPHJABC4Y55WGD5LX \
  | 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: 208c31ee1b0a9e748022e63bdb187d5de89315a91c9f688683d21a52ffbdf5bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9def00e4b9717165c2c347109467f2484b7a62ee9aee13d831dc47f06c70dd51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-05-10T15:37:13Z",
    "title_canon_sha256": "552a160f0e54389a18a32e19febd1565dc6ca4c3d22078f9dbd8860f5bfe8ee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04191",
    "kind": "arxiv",
    "version": 5
  }
}