Pith Number

pith:PYCVGO7U

pith:2012:PYCVGO7U7QHGDP2JTVTFEIAOAR

not attested not anchored not stored refs pending

Nonlinear elliptic Partial Differential Equations and p-harmonic functions on graphs

Adam M. Oberman, Alex P. Svirodov, Juan J. Manfredi

arxiv:1212.0834 v2 · 2012-12-04 · 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{PYCVGO7U7QHGDP2JTVTFEIAOAR}

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	2026-05-18T03:32:16.820568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e05533bf4fc0e61bf499d6652200e047c37666860829101e96672086c34c281

Aliases

arxiv: 1212.0834 · arxiv_version: 1212.0834v2 · doi: 10.48550/arxiv.1212.0834 · pith_short_12: PYCVGO7U7QHG · pith_short_16: PYCVGO7U7QHGDP2J · pith_short_8: PYCVGO7U

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/PYCVGO7U7QHGDP2JTVTFEIAOAR \
  | 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: 7e05533bf4fc0e61bf499d6652200e047c37666860829101e96672086c34c281

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b6ecd0140467906d803327174aa9500eb4e9b5decf114d6b9f9f349d869193",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-04T19:34:51Z",
    "title_canon_sha256": "a51550f974e72e1c1f9968830841caa3bd3b671d7fdbee3bfca532c50e1f3f41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0834",
    "kind": "arxiv",
    "version": 2
  }
}