Pith Number

pith:YYVTANNG

pith:2019:YYVTANNGBK3SA2MF7YBGUSXFDT

not attested not anchored not stored refs pending

Quantifier alternation in a class of recursively defined tree properties

Moumanti Podder

arxiv:1902.05533 v1 · 2019-02-14 · math.LO · 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{YYVTANNGBK3SA2MF7YBGUSXFDT}

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	2026-05-17T23:53:58.450085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c62b3035a60ab7206985fe026a4ae51cc6e5504a4cbef91dfa6d5250145ebec8

Aliases

arxiv: 1902.05533 · arxiv_version: 1902.05533v1 · doi: 10.48550/arxiv.1902.05533 · pith_short_12: YYVTANNGBK3S · pith_short_16: YYVTANNGBK3SA2MF · pith_short_8: YYVTANNG

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/YYVTANNGBK3SA2MF7YBGUSXFDT \
  | 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: c62b3035a60ab7206985fe026a4ae51cc6e5504a4cbef91dfa6d5250145ebec8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a51e3c1edbbd7b041dd8dc17e3a2d8fff02ea4da7107a0f0859f644a338f0c5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-02-14T18:26:00Z",
    "title_canon_sha256": "bddd589025f7374e2d9afc9bad9e34c4ffeff69a393afbdddbba11bfad5d6b4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05533",
    "kind": "arxiv",
    "version": 1
  }
}