Pith Number

pith:4WH7BUSZ

pith:2015:4WH7BUSZU26RABUAKVWDF6YRL4

not attested not anchored not stored refs pending

Ramsey Theory Problems over the Integers: Avoiding Generalized Progressions

Andrew Best, Jasmine Powell, Karen Huan, Kimsy Tor, Madeleine Weinstein, Nathan McNew, Steven J. Miller

arxiv:1508.02907 v1 · 2015-08-12 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WH7BUSZU26RABUAKVWDF6YRL4}

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	2026-05-18T01:35:23.482656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e58ff0d259a6bd100680556c32fb115f3997382a074ad58bf1c2c3d33519b0e5

Aliases

arxiv: 1508.02907 · arxiv_version: 1508.02907v1 · doi: 10.48550/arxiv.1508.02907 · pith_short_12: 4WH7BUSZU26R · pith_short_16: 4WH7BUSZU26RABUA · pith_short_8: 4WH7BUSZ

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/4WH7BUSZU26RABUAKVWDF6YRL4 \
  | 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: e58ff0d259a6bd100680556c32fb115f3997382a074ad58bf1c2c3d33519b0e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ae584ef5b994a0bac23b5d0652708278e212f10f42e5f3aa42c730111a5a8f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-12T13:11:48Z",
    "title_canon_sha256": "9131f6d67f657d8ea1d58a9160495276941bb9b8c61c9c204f3ebd2fd6a55952"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02907",
    "kind": "arxiv",
    "version": 1
  }
}