Pith Number

pith:UJTBAKKK

pith:2019:UJTBAKKK5S3RVR2BOO4HELNAW5

not attested not anchored not stored refs pending

Finite scale factor and future singularities

L. N. Granda

arxiv:1907.06880 v1 · 2019-07-16 · gr-qc · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJTBAKKK5S3RVR2BOO4HELNAW5}

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	2026-05-17T23:40:28.825974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a26610294aecb71ac74173b8722da0b75f28d61589dc38d2edaf72a6a0804611

Aliases

arxiv: 1907.06880 · arxiv_version: 1907.06880v1 · doi: 10.48550/arxiv.1907.06880 · pith_short_12: UJTBAKKK5S3R · pith_short_16: UJTBAKKK5S3RVR2B · pith_short_8: UJTBAKKK

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/UJTBAKKK5S3RVR2BOO4HELNAW5 \
  | 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: a26610294aecb71ac74173b8722da0b75f28d61589dc38d2edaf72a6a0804611

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad1d58ea67ae0b7413cda48e682c9d0699b36fb72888edf7e6a8733c4c7d735e",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-07-16T07:59:49Z",
    "title_canon_sha256": "68627f89d01ed08cedacb22be4817f91d6f7ad63816f9e8deaa366b6b39d1097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06880",
    "kind": "arxiv",
    "version": 1
  }
}