Pith Number

pith:TNJ3KPAW

pith:2019:TNJ3KPAW42E6VA4AEEX523DQNO

not attested not anchored not stored refs pending

The Purity Conjecture in Type $C$

Rachel Karpman

arxiv:1907.08275 v1 · 2019-07-18 · 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{TNJ3KPAW42E6VA4AEEX523DQNO}

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	2026-05-17T23:40:10.358953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b53b53c16e689ea8380212fdd6c706b997f6d743f2a60325dfbc0076b4d90fb

Aliases

arxiv: 1907.08275 · arxiv_version: 1907.08275v1 · doi: 10.48550/arxiv.1907.08275 · pith_short_12: TNJ3KPAW42E6 · pith_short_16: TNJ3KPAW42E6VA4A · pith_short_8: TNJ3KPAW

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/TNJ3KPAW42E6VA4AEEX523DQNO \
  | 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: 9b53b53c16e689ea8380212fdd6c706b997f6d743f2a60325dfbc0076b4d90fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3458285cac949311504822f4b27652a77f6b3ab5c3d972c4a5444f2943253195",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-18T20:34:38Z",
    "title_canon_sha256": "4c8c2148f6400f30a0a4c2492a2f2a32d8dea114f0def2e4cea6d8535c27f71f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08275",
    "kind": "arxiv",
    "version": 1
  }
}