Pith Number

pith:TPUIN6OD

pith:2018:TPUIN6ODTSIXRAP74ZC2ERLVKV

not attested not anchored not stored refs pending

Geometry, combinatorics, and algebra of inductively pierced codes

Caitlin Lienkaemper

arxiv:1811.04712 v2 · 2018-11-12 · 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{TPUIN6ODTSIXRAP74ZC2ERLVKV}

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	2026-05-17T23:42:02.836949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9be886f9c39c917881ffe645a24575556ce97c2abfe5d7d7ec4825730203a56e

Aliases

arxiv: 1811.04712 · arxiv_version: 1811.04712v2 · doi: 10.48550/arxiv.1811.04712 · pith_short_12: TPUIN6ODTSIX · pith_short_16: TPUIN6ODTSIXRAP7 · pith_short_8: TPUIN6OD

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/TPUIN6ODTSIXRAP74ZC2ERLVKV \
  | 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: 9be886f9c39c917881ffe645a24575556ce97c2abfe5d7d7ec4825730203a56e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceaaacd176af45365fa741d8f3e8e138629d3c7b22305aa7473f3b13342a70ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-12T13:24:18Z",
    "title_canon_sha256": "19afe902c133e8f3e36c4c5824e884a4d900e111e56f73bacb3c98fde6045b69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04712",
    "kind": "arxiv",
    "version": 2
  }
}