Pith Number

pith:V5IP2TUJ

pith:2013:V5IP2TUJSNLT3VVFDJ7C6CAKUS

not attested not anchored not stored refs pending

The Habitable Epoch of the Early Universe

Abraham Loeb (Harvard)

arxiv:1312.0613 v3 · 2013-12-02 · astro-ph.CO · astro-ph.EP · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5IP2TUJSNLT3VVFDJ7C6CAKUS}

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	2026-05-18T01:45:59.627304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af50fd4e8993573dd6a51a7e2f080aa4ab7354e13a11ff862778dbc1baea7b15

Aliases

arxiv: 1312.0613 · arxiv_version: 1312.0613v3 · doi: 10.48550/arxiv.1312.0613 · pith_short_12: V5IP2TUJSNLT · pith_short_16: V5IP2TUJSNLT3VVF · pith_short_8: V5IP2TUJ

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/V5IP2TUJSNLT3VVFDJ7C6CAKUS \
  | 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: af50fd4e8993573dd6a51a7e2f080aa4ab7354e13a11ff862778dbc1baea7b15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c903e46dd1c985c21bd8981814bbc2d9e093abb3d599dfae1fafdfa88bc6cfc",
    "cross_cats_sorted": [
      "astro-ph.EP",
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-12-02T21:00:18Z",
    "title_canon_sha256": "f7c966b9cb46b3dc7c8f00abaaedc052c9e02a763d4d227104d1640a9dcafe7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0613",
    "kind": "arxiv",
    "version": 3
  }
}