Pith Number

pith:DQJTE6ZV

pith:2023:DQJTE6ZVUIOOPSYYLBKFBHJX2H

not attested not anchored not stored refs pending

Bounds for the Competition-Independence game on trees

Jan Petr, Julien Portier

arxiv:2303.09993 v1 · 2023-03-17 · 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{DQJTE6ZVUIOOPSYYLBKFBHJX2H}

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	2026-07-05T05:52:13.239691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c13327b35a21ce7cb185854509d37d1defe1657f7bc5cfbafaf134c1437401a

Aliases

arxiv: 2303.09993 · arxiv_version: 2303.09993v1 · doi: 10.48550/arxiv.2303.09993 · pith_short_12: DQJTE6ZVUIOO · pith_short_16: DQJTE6ZVUIOOPSYY · pith_short_8: DQJTE6ZV

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/DQJTE6ZVUIOOPSYYLBKFBHJX2H \
  | 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: 1c13327b35a21ce7cb185854509d37d1defe1657f7bc5cfbafaf134c1437401a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14848270462cdc564a2df4c441ba57dd9eefce7ff5536a87a3344cea43783033",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-03-17T14:10:46Z",
    "title_canon_sha256": "4e0fc1653610820583c9b8da7eda94fead4c00b6931511399c20472ea201b7c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.09993",
    "kind": "arxiv",
    "version": 1
  }
}