Pith Number

pith:ENCAF77O

pith:2023:ENCAF77OZRM5ZZZNPI5AXP3EFB

not attested not anchored not stored refs pending

Vector space Ramsey numbers and weakly Sidorenko affine configurations

Bryce Frederickson, Liana Yepremyan

arxiv:2308.13489 v1 · 2023-08-25 · 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{ENCAF77OZRM5ZZZNPI5AXP3EFB}

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	2026-07-05T06:44:44.722047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

234402ffeecc59dce72d7a3a0bbf64287336420fab7e0934df6a90944cfe59d7

Aliases

arxiv: 2308.13489 · arxiv_version: 2308.13489v1 · doi: 10.48550/arxiv.2308.13489 · pith_short_12: ENCAF77OZRM5 · pith_short_16: ENCAF77OZRM5ZZZN · pith_short_8: ENCAF77O

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/ENCAF77OZRM5ZZZNPI5AXP3EFB \
  | 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: 234402ffeecc59dce72d7a3a0bbf64287336420fab7e0934df6a90944cfe59d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2e52ecb55eb72c7410f3c982e171d1d162b3c6b57d895fd2d3cd0d5c4978368",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-08-25T17:03:12Z",
    "title_canon_sha256": "dbbad91411b30a625c1a3b4aed210fedd0cee223c53ea8066445a7ce5d39785e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.13489",
    "kind": "arxiv",
    "version": 1
  }
}