Pith Number

pith:NLUEHMHF

pith:2016:NLUEHMHFZRXJKKHGURY462UZZW

not attested not anchored not stored refs pending

Homogeneous families on trees and subsymmetric basic sequences

Christina Brech, Jordi Lopez-Abad, Stevo Todorcevic

arxiv:1607.06135 v2 · 2016-07-20 · math.FA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NLUEHMHFZRXJKKHGURY462UZZW}

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	2026-05-18T00:48:01.131507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ae843b0e5cc6e9528e6a471cf6a99cda5becf8e5aa037efa3df6eb75b7ba49c

Aliases

arxiv: 1607.06135 · arxiv_version: 1607.06135v2 · doi: 10.48550/arxiv.1607.06135 · pith_short_12: NLUEHMHFZRXJ · pith_short_16: NLUEHMHFZRXJKKHG · pith_short_8: NLUEHMHF

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/NLUEHMHFZRXJKKHGURY462UZZW \
  | 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: 6ae843b0e5cc6e9528e6a471cf6a99cda5becf8e5aa037efa3df6eb75b7ba49c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b302f71d1b1dd2fbe5f182dca6339969eea736d5f0877d6d083ba92bb92cf665",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-07-20T21:48:17Z",
    "title_canon_sha256": "6a13ee34120b6a2e5a2eb58c6f3b742d5a2a59edff242d212c85a0f6ff92b1b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06135",
    "kind": "arxiv",
    "version": 2
  }
}