Pith Number

pith:DG4SXATC

pith:2005:DG4SXATCO2R2HW2ZYBTAB35J6W

not attested not anchored not stored refs pending

Nilfactors of R^m-actions and configurations in sets of positive upper density in R^m

Tamar Ziegler

arxiv:math/0505276 v1 · 2005-05-12 · math.DS · 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{DG4SXATCO2R2HW2ZYBTAB35J6W}

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	2026-05-18T04:05:16.758924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19b92b826276a3a3db59c06600efa9f581536901be0f48af5cc5408be69e87a9

Aliases

arxiv: math/0505276 · arxiv_version: math/0505276v1 · doi: 10.48550/arxiv.math/0505276 · pith_short_12: DG4SXATCO2R2 · pith_short_16: DG4SXATCO2R2HW2Z · pith_short_8: DG4SXATC

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/DG4SXATCO2R2HW2ZYBTAB35J6W \
  | 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: 19b92b826276a3a3db59c06600efa9f581536901be0f48af5cc5408be69e87a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "343b0de2560d4f4df6e0e9f77ccd0bc3b60d136e4d3bf2913e530c9d33ca3496",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2005-05-12T20:37:11Z",
    "title_canon_sha256": "e414a9e5d03303d44e704cedfec46dba0c103fabeee93c9208b8d4e65c2a240c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505276",
    "kind": "arxiv",
    "version": 1
  }
}