Pith Number

pith:HSEKUR6Q

pith:2016:HSEKUR6QTDYVQQFWLOJFYW4J2S

not attested not anchored not stored refs pending

The dimensionless age of the Universe: a riddle for our time

2) ((1) Harvard University, (2) Gordon, Arturo Avelino (1), Betty Moore Foundation), Robert P. Kirshner (1

arxiv:1607.00002 v1 · 2016-06-30 · astro-ph.CO · 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{HSEKUR6QTDYVQQFWLOJFYW4J2S}

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	2026-05-18T01:07:20.318142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c88aa47d098f15840b65b925c5b89d4ba5a4b05ec8c005a9699b584d5776140

Aliases

arxiv: 1607.00002 · arxiv_version: 1607.00002v1 · doi: 10.48550/arxiv.1607.00002 · pith_short_12: HSEKUR6QTDYV · pith_short_16: HSEKUR6QTDYVQQFW · pith_short_8: HSEKUR6Q

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/HSEKUR6QTDYVQQFWLOJFYW4J2S \
  | 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: 3c88aa47d098f15840b65b925c5b89d4ba5a4b05ec8c005a9699b584d5776140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a76198e07012a31db749c81c5ee243a9daf99413bf14871d46414579be45873b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-06-30T20:00:02Z",
    "title_canon_sha256": "3c62128531d732d083abff3c29ea16416058432292373347b025260d8a785f75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00002",
    "kind": "arxiv",
    "version": 1
  }
}