Pith Number

pith:QAJ6FJWJ

pith:2010:QAJ6FJWJJKYWPIM4JE2WVB7QX2

not attested not anchored not stored refs pending

New mechanism to cross the phantom divide

Hongsheng Zhang, Xin-zhou Li, Yunshuang Du

arxiv:1008.4421 v3 · 2010-08-26 · astro-ph.CO · 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{QAJ6FJWJJKYWPIM4JE2WVB7QX2}

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	2026-05-18T04:19:03.287667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8013e2a6c94ab167a19c49356a87f0beb35fe17a81c6224691232a51202ae52a

Aliases

arxiv: 1008.4421 · arxiv_version: 1008.4421v3 · doi: 10.48550/arxiv.1008.4421 · pith_short_12: QAJ6FJWJJKYW · pith_short_16: QAJ6FJWJJKYWPIM4 · pith_short_8: QAJ6FJWJ

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/QAJ6FJWJJKYWPIM4JE2WVB7QX2 \
  | 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: 8013e2a6c94ab167a19c49356a87f0beb35fe17a81c6224691232a51202ae52a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fef0cad074088ce77f4ac7fabe5dd899d9c27dbec95170334084935e5c8fc72",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-08-26T03:14:43Z",
    "title_canon_sha256": "af9ece0bbe85bf16af0856e6c1e714d424d6b3b2e7d5bcbaa46b4be16b9375c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4421",
    "kind": "arxiv",
    "version": 3
  }
}