Pith Number

pith:KE5FEMMC

pith:2013:KE5FEMMCEHGCXAJVUSGHIPT5F4

not attested not anchored not stored refs pending

A Decreasing Stack and an Increasing Stack in Series

Rebecca Smith

arxiv:1301.6801 v1 · 2013-01-28 · 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{KE5FEMMCEHGCXAJVUSGHIPT5F4}

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	2026-05-18T03:35:12.274814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

513a52318221cc2b8135a48c743e7d2f26a5f2e233b8a60b068a9d48431dcc49

Aliases

arxiv: 1301.6801 · arxiv_version: 1301.6801v1 · doi: 10.48550/arxiv.1301.6801 · pith_short_12: KE5FEMMCEHGC · pith_short_16: KE5FEMMCEHGCXAJV · pith_short_8: KE5FEMMC

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/KE5FEMMCEHGCXAJVUSGHIPT5F4 \
  | 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: 513a52318221cc2b8135a48c743e7d2f26a5f2e233b8a60b068a9d48431dcc49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a895f7c27e3caf8077cf2f77354f8e1033e976203ee432f59f7715f1ed82f45f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-28T23:09:13Z",
    "title_canon_sha256": "76c238fc6cf4c1c43558da03253e5da6e4d243b03cdcca43eeb7139d48b01f33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6801",
    "kind": "arxiv",
    "version": 1
  }
}