Pith Number

pith:2MQR7ZKK

pith:2017:2MQR7ZKKLBVG647JT5TDL4AKAG

not attested not anchored not stored refs pending

Tolerance Orders of Open and Closed Intervals

Alan Shuchat, Ann N Trenk, Randy Shull

arxiv:1707.08099 v1 · 2017-07-25 · 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{2MQR7ZKKLBVG647JT5TDL4AKAG}

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	2026-05-18T00:39:29.439636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3211fe54a586a6f73e99f6635f00a018a59aa4f36f6ec8ba37ebad97be97fad

Aliases

arxiv: 1707.08099 · arxiv_version: 1707.08099v1 · doi: 10.48550/arxiv.1707.08099 · pith_short_12: 2MQR7ZKKLBVG · pith_short_16: 2MQR7ZKKLBVG647J · pith_short_8: 2MQR7ZKK

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/2MQR7ZKKLBVG647JT5TDL4AKAG \
  | 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: d3211fe54a586a6f73e99f6635f00a018a59aa4f36f6ec8ba37ebad97be97fad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "229c466e75e0bef6bc3f7fbe74a161cd903b2f449358262e1de80c5b9180a905",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-25T17:32:26Z",
    "title_canon_sha256": "389cf9279d2c36717deccde2900c4f837a95e8e6cee7ebdae8557b5f689e6573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08099",
    "kind": "arxiv",
    "version": 1
  }
}