Pith Number

pith:PC5USJHE

pith:2024:PC5USJHENYLL564PD5UYEQKJWT

not attested not anchored not stored refs pending

Forcing Graphs to be Forcing

Aldo Kiem, Christoph Spiegel, Olaf Parczyk

arxiv:2412.12904 v1 · 2024-12-17 · 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{PC5USJHENYLL564PD5UYEQKJWT}

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.

Cited by

1 paper in Pith

$L^p$-form of the KNRS conjecture

Receipt and verification

First computed	2026-07-05T09:50:22.451712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78bb4924e46e16befb8f1f69824149b4d705037ff5c374ab0601b53fb6c945b8

Aliases

arxiv: 2412.12904 · arxiv_version: 2412.12904v1 · doi: 10.48550/arxiv.2412.12904 · pith_short_12: PC5USJHENYLL · pith_short_16: PC5USJHENYLL564P · pith_short_8: PC5USJHE

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/PC5USJHENYLL564PD5UYEQKJWT \
  | 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: 78bb4924e46e16befb8f1f69824149b4d705037ff5c374ab0601b53fb6c945b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd878785c5082c8bfdaf36a7e70e49e7d571ab91a3a9965db306936dea7cb076",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-17T13:28:49Z",
    "title_canon_sha256": "705843ec1363cac23f48165959888a9aba8f94363b7cc9bc01b847a3acd4b772"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12904",
    "kind": "arxiv",
    "version": 1
  }
}