Pith Number

pith:UXBL33Q3

pith:2013:UXBL33Q3TNBSVFM5GABFLZEQMV

not attested not anchored not stored refs pending

Harmonic functions on the lattice: Absolute monotonicity and propagation of smallness

Dan Mangoubi, Gabor Lippner

arxiv:1312.4550 v3 · 2013-12-16 · math.AP · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UXBL33Q3TNBSVFM5GABFLZEQMV}

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	2026-05-18T01:25:08.839623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5c2bdee1b9b432a959d300255e490655d335ddb0d66501f71ecad670a74d1ae

Aliases

arxiv: 1312.4550 · arxiv_version: 1312.4550v3 · doi: 10.48550/arxiv.1312.4550 · pith_short_12: UXBL33Q3TNBS · pith_short_16: UXBL33Q3TNBSVFM5 · pith_short_8: UXBL33Q3

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/UXBL33Q3TNBSVFM5GABFLZEQMV \
  | 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: a5c2bdee1b9b432a959d300255e490655d335ddb0d66501f71ecad670a74d1ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ad34f1f3b8cf45651aaf1ad2c63dcfc5ede4eb6cfc9c1461612e9b2341a24fe",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-16T21:00:19Z",
    "title_canon_sha256": "23114a2c664a7efdbad07020a62310633c3ca0c0c5142a09863d300656e89131"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4550",
    "kind": "arxiv",
    "version": 3
  }
}