Pith Number

pith:FLGH2ZJF

pith:2017:FLGH2ZJFOR6QEPFLPPRTN2KDGI

not attested not anchored not stored refs pending

Nested Artin Strong Approximation Property

Dorin Popescu, Zunaira Kosar

arxiv:1701.09154 v3 · 2017-01-31 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FLGH2ZJFOR6QEPFLPPRTN2KDGI}

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	2026-05-18T00:45:22.031005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2acc7d6525747d023cab7be336e943323ea1ef0ddc983b55b721b692830bb087

Aliases

arxiv: 1701.09154 · arxiv_version: 1701.09154v3 · doi: 10.48550/arxiv.1701.09154 · pith_short_12: FLGH2ZJFOR6Q · pith_short_16: FLGH2ZJFOR6QEPFL · pith_short_8: FLGH2ZJF

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/FLGH2ZJFOR6QEPFLPPRTN2KDGI \
  | 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: 2acc7d6525747d023cab7be336e943323ea1ef0ddc983b55b721b692830bb087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c980cb1753bf4697e7c12a10af1084da86a84e0b37d0b2b0c98fcdc5969c7448",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-01-31T17:53:35Z",
    "title_canon_sha256": "eaefbe17861bac6c75eea04f3e3d31ced55d6ce78a799f99cfcad7c90e3c1373"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.09154",
    "kind": "arxiv",
    "version": 3
  }
}