Pith Number

pith:66XL7XIN

pith:2014:66XL7XINT5F2H5Q2VBILIUKO52

not attested not anchored not stored refs pending

Asymptotic estimate for the polynomial coefficients

Jiyou Li

arxiv:1405.1803 v4 · 2014-05-08 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66XL7XINT5F2H5Q2VBILIUKO52}

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	2026-05-18T02:32:14.002331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7aebfdd0d9f4ba3f61aa850b4514eee9b490011308cbdde117338baa3022432

Aliases

arxiv: 1405.1803 · arxiv_version: 1405.1803v4 · doi: 10.48550/arxiv.1405.1803 · pith_short_12: 66XL7XINT5F2 · pith_short_16: 66XL7XINT5F2H5Q2 · pith_short_8: 66XL7XIN

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/66XL7XINT5F2H5Q2VBILIUKO52 \
  | 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: f7aebfdd0d9f4ba3f61aa850b4514eee9b490011308cbdde117338baa3022432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec3de3302606e88a8f8cd84af50371b80f645d0de76b9f4b9d0ed13c67c31837",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-08T05:18:13Z",
    "title_canon_sha256": "b018763bc3f9c386b672eb2c87dde893c44b68cc24ab1b0f14e3a509a83e8f2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1803",
    "kind": "arxiv",
    "version": 4
  }
}