pith. sign in
Pith Number

pith:2NYFAPI4

pith:2011:2NYFAPI4TH5WZZIUP4PY7JFU7A
not attested not anchored not stored refs pending

Understanding the physics of the X-factor

M.-M. Mac Low, S. C. O. Glover

arxiv:1101.3157 v1 · 2011-01-17 · astro-ph.GA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2NYFAPI4TH5WZZIUP4PY7JFU7A}

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 2026-05-18T02:03:39.347579Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d370503d1c99fb6ce5147f1f8fa4b4f830034237d173e243bb9cdae37d9a64ba

Aliases

arxiv: 1101.3157 · arxiv_version: 1101.3157v1 · doi: 10.48550/arxiv.1101.3157 · pith_short_12: 2NYFAPI4TH5W · pith_short_16: 2NYFAPI4TH5WZZIU · pith_short_8: 2NYFAPI4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2NYFAPI4TH5WZZIUP4PY7JFU7A \
  | 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: d370503d1c99fb6ce5147f1f8fa4b4f830034237d173e243bb9cdae37d9a64ba
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3cfee390644b2fba60c64f361bd7ab1d04ebe55ceb4313c03ace85f3601b5e94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2011-01-17T09:25:03Z",
    "title_canon_sha256": "c3d0feecac61b1e2459a11cbdcc2a375164a927885ce48bf55626f69396c9780"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3157",
    "kind": "arxiv",
    "version": 1
  }
}