Pith Number

pith:WUEARODK

pith:2013:WUEARODKB5WYP3NNR2CRKBGN4K

not attested not anchored not stored refs pending

Stability estimates for discrete harmonic functions on product domains

Maru Guadie

arxiv:1306.1997 v1 · 2013-06-09 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUEARODKB5WYP3NNR2CRKBGN4K}

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	2026-05-18T00:56:51.854731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b50808b86a0f6d87edad8e851504cde2848f8247dbfc757e34881d3a14d22ba9

Aliases

arxiv: 1306.1997 · arxiv_version: 1306.1997v1 · doi: 10.48550/arxiv.1306.1997 · pith_short_12: WUEARODKB5WY · pith_short_16: WUEARODKB5WYP3NN · pith_short_8: WUEARODK

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/WUEARODKB5WYP3NNR2CRKBGN4K \
  | 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: b50808b86a0f6d87edad8e851504cde2848f8247dbfc757e34881d3a14d22ba9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13423ac80da58f0e380a21dad1c169bd33c7f1d05eb6e4c3070fbb8f03313c47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-09T09:02:28Z",
    "title_canon_sha256": "a1c2b508dd7e2cfed80eb851f44e9921e153f2e2296ef515895263161143215c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1997",
    "kind": "arxiv",
    "version": 1
  }
}