Pith Number

pith:SFJMBQV4

pith:2017:SFJMBQV4CCXEP6MKQPJFVDDKEQ

not attested not anchored not stored refs pending

An analytical Lieb-Sokal lemma

Mohan Ravichandran

arxiv:1704.06195 v1 · 2017-04-20 · math.FA · 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{SFJMBQV4CCXEP6MKQPJFVDDKEQ}

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	2026-05-18T00:46:03.087767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9152c0c2bc10ae47f98a83d25a8c6a242beb0e6e3031d1452495aa1d9052a1de

Aliases

arxiv: 1704.06195 · arxiv_version: 1704.06195v1 · doi: 10.48550/arxiv.1704.06195 · pith_short_12: SFJMBQV4CCXE · pith_short_16: SFJMBQV4CCXEP6MK · pith_short_8: SFJMBQV4

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/SFJMBQV4CCXEP6MKQPJFVDDKEQ \
  | 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: 9152c0c2bc10ae47f98a83d25a8c6a242beb0e6e3031d1452495aa1d9052a1de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e4bf1a0b1ebc2994a05dcb7943d6f166bb551b2f104d6c0137ddaaece6c5f40",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-04-20T15:49:59Z",
    "title_canon_sha256": "3e18b452c722a147c4a4ccee943eb0fb1a15d4eb6d5bed9ec447e39cc9e700e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06195",
    "kind": "arxiv",
    "version": 1
  }
}