pith. sign in
Pith Number

pith:F44HHTKB

pith:2015:F44HHTKBDQR4NS6PHTXIJWCSG3
not attested not anchored not stored refs pending

Onset of the Asymptotic Regime for Finite Orders

David P. Rideout, Joe Henson, Rafael D. Sorkin, Sumati Surya

arxiv:1504.05902 v1 · 2015-04-22 · math.CO · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F44HHTKBDQR4NS6PHTXIJWCSG3}

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 2026-05-18T02:18:04.732569Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2f3873cd411c23c6cbcf3cee84d85236d9237dcdb4e7773f98df9439157474ad

Aliases

arxiv: 1504.05902 · arxiv_version: 1504.05902v1 · doi: 10.48550/arxiv.1504.05902 · pith_short_12: F44HHTKBDQR4 · pith_short_16: F44HHTKBDQR4NS6P · pith_short_8: F44HHTKB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F44HHTKBDQR4NS6PHTXIJWCSG3 \
  | 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: 2f3873cd411c23c6cbcf3cee84d85236d9237dcdb4e7773f98df9439157474ad
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4eb2a078444fbeb4c1ee7d67fea3caabff9b6b22d448d762b2be4db6d9f6ab43",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-22T17:47:05Z",
    "title_canon_sha256": "9e2d48686b2e6ca5cc72944f0228d0b8ea9b576a4ffb2f08239c4df3f94ae62c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05902",
    "kind": "arxiv",
    "version": 1
  }
}