Pith Number

pith:BG2YFOUI

pith:2011:BG2YFOUIXEKV3WBE6NTOGDQU2O

not attested not anchored not stored refs pending

On the elementary symmetric functions of $1, 1/2, \ldots , 1/n$

Min Tang, Yong-Gao Chen

arxiv:1109.1442 v1 · 2011-09-07 · 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{BG2YFOUIXEKV3WBE6NTOGDQU2O}

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	2026-05-18T02:42:54.380083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09b582ba88b9155dd824f366e30e14d38b7639a66c23354b7d5c35dd6ff33e7d

Aliases

arxiv: 1109.1442 · arxiv_version: 1109.1442v1 · doi: 10.48550/arxiv.1109.1442 · pith_short_12: BG2YFOUIXEKV · pith_short_16: BG2YFOUIXEKV3WBE · pith_short_8: BG2YFOUI

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/BG2YFOUIXEKV3WBE6NTOGDQU2O \
  | 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: 09b582ba88b9155dd824f366e30e14d38b7639a66c23354b7d5c35dd6ff33e7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feb5c96fa99c754ac8e4f62e9d5e029ee331acfffe3c57243b34d49a8b296f45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-07T13:11:51Z",
    "title_canon_sha256": "1e0473923f1dc5e7aabb67e4a97f03b9f5dd654d7c1a8584d9e766a81e136e42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1442",
    "kind": "arxiv",
    "version": 1
  }
}