Pith Number

pith:LMF3J5W3

pith:2014:LMF3J5W3GZEECLCA35X5H332JF

not attested not anchored not stored refs pending

Modified Lyth bound and implications of BICEP2 results

Qing Gao, Tianjun Li, Yungui Gong

arxiv:1405.6451 v2 · 2014-05-26 · gr-qc · astro-ph.CO · 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{LMF3J5W3GZEECLCA35X5H332JF}

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	2026-05-18T02:25:18.943935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b0bb4f6db3648412c40df6fd3ef7a494914bc534fd52a3f38e580556b8ffbae

Aliases

arxiv: 1405.6451 · arxiv_version: 1405.6451v2 · doi: 10.48550/arxiv.1405.6451 · pith_short_12: LMF3J5W3GZEE · pith_short_16: LMF3J5W3GZEECLCA · pith_short_8: LMF3J5W3

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/LMF3J5W3GZEECLCA35X5H332JF \
  | 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: 5b0bb4f6db3648412c40df6fd3ef7a494914bc534fd52a3f38e580556b8ffbae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0d4207de23b6306b8ceb7882cd3a9779ea0c33a9d4ca7c37b119f1281e9721a",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-05-26T02:32:56Z",
    "title_canon_sha256": "482cbb5a92026481aa685dba2a79b840816716de154c248cd48785ed6de0974c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6451",
    "kind": "arxiv",
    "version": 2
  }
}