Pith Number

pith:LHCQPAMB

pith:2015:LHCQPAMBT3OI7IJW4L2FECZYAX

not attested not anchored not stored refs pending

Generalised hyperbolicity in spacetimes with Lipschitz regularity

James A. Vickers, Yafet Sanchez Sanchez

arxiv:1507.06463 v3 · 2015-07-23 · 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{LHCQPAMBT3OI7IJW4L2FECZYAX}

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	2026-05-18T00:50:57.742591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59c50781819edc8fa136e2f4520b3805c0a86fa71336af9592cf4dc6ca8ce4c3

Aliases

arxiv: 1507.06463 · arxiv_version: 1507.06463v3 · doi: 10.48550/arxiv.1507.06463 · pith_short_12: LHCQPAMBT3OI · pith_short_16: LHCQPAMBT3OI7IJW · pith_short_8: LHCQPAMB

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/LHCQPAMBT3OI7IJW4L2FECZYAX \
  | 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: 59c50781819edc8fa136e2f4520b3805c0a86fa71336af9592cf4dc6ca8ce4c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a9f6d638bb3c91665560f4062d62a32855f7b71ea3e1196a7890465f0cbfefe",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-07-23T12:08:58Z",
    "title_canon_sha256": "3d2fa5bb0699fc034114ed553a93efdcfee58aeeff69711ad5dbffd1ca4b64db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06463",
    "kind": "arxiv",
    "version": 3
  }
}