Pith Number

pith:PPU7PVKF

pith:2022:PPU7PVKFGKSJQXCAFTKA6IMGHA

not attested not anchored not stored refs pending

Subword Complexes and Kalai's Conjecture on Reconstruction of Spheres

Cesar Ceballos, Joseph Doolittle

arxiv:2206.15461 v1 · 2022-06-30 · 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{PPU7PVKFGKSJQXCAFTKA6IMGHA}

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	2026-07-05T04:36:29.886624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7be9f7d54532a4985c402cd40f21863803ac8d5237955e86c75d61c3119bc4e3

Aliases

arxiv: 2206.15461 · arxiv_version: 2206.15461v1 · doi: 10.48550/arxiv.2206.15461 · pith_short_12: PPU7PVKFGKSJ · pith_short_16: PPU7PVKFGKSJQXCA · pith_short_8: PPU7PVKF

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/PPU7PVKFGKSJQXCAFTKA6IMGHA \
  | 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: 7be9f7d54532a4985c402cd40f21863803ac8d5237955e86c75d61c3119bc4e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddcfdf024e82741b058df8561d745192a3f1464d8bb33febf4ff45d19c91c4c2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-06-30T17:54:03Z",
    "title_canon_sha256": "98ae2514b9a356446d8083858ba22774b34a90a1c0bb0cf0a766d84c56909b73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.15461",
    "kind": "arxiv",
    "version": 1
  }
}