Pith Number

pith:HHOSXUTN

pith:2015:HHOSXUTNXABTQLXJAOFL2J2PVR

not attested not anchored not stored refs pending

On the structure of subsets of an orderable group with some small doubling properties

A. Plagne, D. J. S. Robinson, G. A. Freiman, M. Herzog, M. Maj, P. Longobardi, Y.V. Stanchescu

arxiv:1505.00419 v1 · 2015-05-03 · math.GR · math.CO · 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{HHOSXUTNXABTQLXJAOFL2J2PVR}

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	2026-05-18T01:27:23.822010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39dd2bd26db803382ee9038abd274fac6fa7d3d09ff34fbc235e03e3dd995801

Aliases

arxiv: 1505.00419 · arxiv_version: 1505.00419v1 · doi: 10.48550/arxiv.1505.00419 · pith_short_12: HHOSXUTNXABT · pith_short_16: HHOSXUTNXABTQLXJ · pith_short_8: HHOSXUTN

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/HHOSXUTNXABTQLXJAOFL2J2PVR \
  | 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: 39dd2bd26db803382ee9038abd274fac6fa7d3d09ff34fbc235e03e3dd995801

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e14e671e369b640455f07b98114201234ef73ee7f8ddea2d3e0d090cbcbd4882",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-05-03T10:51:12Z",
    "title_canon_sha256": "782bf40990621ef9a4d60f661f682900412f91f70e92dfd3a79c936b870684d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00419",
    "kind": "arxiv",
    "version": 1
  }
}