Pith Number

pith:NA4ZWNHR

pith:2017:NA4ZWNHR6SDZ232BTSPQKKXRAA

not attested not anchored not stored refs pending

Maximizers in Lipschitz spacetimes are either timelike or null

Eric Ling, Melanie Graf

arxiv:1712.06504 v2 · 2017-12-18 · 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{NA4ZWNHR6SDZ232BTSPQKKXRAA}

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	2026-05-18T00:20:05.080192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68399b34f1f4879d6f419c9f052af100125c545779389f56e8f5ec6f30562ab6

Aliases

arxiv: 1712.06504 · arxiv_version: 1712.06504v2 · doi: 10.48550/arxiv.1712.06504 · pith_short_12: NA4ZWNHR6SDZ · pith_short_16: NA4ZWNHR6SDZ232B · pith_short_8: NA4ZWNHR

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/NA4ZWNHR6SDZ232BTSPQKKXRAA \
  | 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: 68399b34f1f4879d6f419c9f052af100125c545779389f56e8f5ec6f30562ab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ed04618e9cbe54f1950639608bbe4640cf41f98201df4a5205e6af8e0097903",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-12-18T16:35:24Z",
    "title_canon_sha256": "7e5b5fdd7910378d81b63bfe7fb64de17acc7e35115b31c99f415fcd85802cde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06504",
    "kind": "arxiv",
    "version": 2
  }
}