Pith Number

pith:GHOWOFBX

pith:2013:GHOWOFBXOCTTI4SVHK3UKZBEIQ

not attested not anchored not stored refs pending

Mean value property for nonharmonic functions

Oleg Karpenkov, Tetiana Boiko

arxiv:1309.5040 v1 · 2013-09-19 · math.AP · 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{GHOWOFBXOCTTI4SVHK3UKZBEIQ}

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	2026-05-18T03:12:49.005235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31dd67143770a73472553ab74564244432c44cc5a46ff4b94337cab159c4d37c

Aliases

arxiv: 1309.5040 · arxiv_version: 1309.5040v1 · doi: 10.48550/arxiv.1309.5040 · pith_short_12: GHOWOFBXOCTT · pith_short_16: GHOWOFBXOCTTI4SV · pith_short_8: GHOWOFBX

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/GHOWOFBXOCTTI4SVHK3UKZBEIQ \
  | 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: 31dd67143770a73472553ab74564244432c44cc5a46ff4b94337cab159c4d37c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67455c10f202f396bce4b54143f67ebdeacc38a3c26dff9359ea1a5134dcedfc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-19T16:24:14Z",
    "title_canon_sha256": "196db9494746f763946ef8a0a4df9e218b300312faa1046e57b2980b765e6a1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5040",
    "kind": "arxiv",
    "version": 1
  }
}