Pith Number

pith:QZFHRBOG

pith:2014:QZFHRBOGJUTAN6EGLI6JZ42LSV

not attested not anchored not stored refs pending

Primitive recursive bounds for the finite version of Gowers' $c_0$ theorem

Konstantinos Tyros

arxiv:1401.8073 v2 · 2014-01-31 · 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{QZFHRBOGJUTAN6EGLI6JZ42LSV}

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	2026-05-18T01:32:34.864896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

864a7885c64d2606f8865a3c9cf34b9551b31a14cae3b6dda6c42dc008216a30

Aliases

arxiv: 1401.8073 · arxiv_version: 1401.8073v2 · doi: 10.48550/arxiv.1401.8073 · pith_short_12: QZFHRBOGJUTA · pith_short_16: QZFHRBOGJUTAN6EG · pith_short_8: QZFHRBOG

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/QZFHRBOGJUTAN6EGLI6JZ42LSV \
  | 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: 864a7885c64d2606f8865a3c9cf34b9551b31a14cae3b6dda6c42dc008216a30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc09a35aa60caf17ee562713c7a604d6a1cc72aac0b76799e99e10f3f11871a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-31T07:02:51Z",
    "title_canon_sha256": "e3b9ece3068e7d2caa226a2be8fa088b0cc026b77138fbe09ee986453c300e89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.8073",
    "kind": "arxiv",
    "version": 2
  }
}