Pith Number

pith:XVXWO27S

pith:2011:XVXWO27SWIW6ZPSEMA7I35DVXC

not attested not anchored not stored refs pending

On the estimate for a mean value relative to 4/p=1/n_1+1/n_2+1/n_3

Chaohua Jia

arxiv:1107.6039 v1 · 2011-07-29 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVXWO27SWIW6ZPSEMA7I35DVXC}

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	2026-05-18T04:16:39.999524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd6f676bf2b22decbe44603e8df475b887f9f83f33722b804de9bd3a1830db9b

Aliases

arxiv: 1107.6039 · arxiv_version: 1107.6039v1 · doi: 10.48550/arxiv.1107.6039 · pith_short_12: XVXWO27SWIW6 · pith_short_16: XVXWO27SWIW6ZPSE · pith_short_8: XVXWO27S

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/XVXWO27SWIW6ZPSEMA7I35DVXC \
  | 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: bd6f676bf2b22decbe44603e8df475b887f9f83f33722b804de9bd3a1830db9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf7536fd35c4515d7521ef53dcee9f171b9ce6d4808e5b8a36855bce9283ec69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-29T19:13:50Z",
    "title_canon_sha256": "f3cdd3dbb92e09a5b02acf40e4b4b0585b829efef874384952b1c4b335ef1eb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.6039",
    "kind": "arxiv",
    "version": 1
  }
}