Pith Number

pith:4SGCX2J5

pith:2013:4SGCX2J5SD2TFSZANM5FJ4WKHE

not attested not anchored not stored refs pending

Gradient bounds for p-harmonic systems with vanishing neumann data in a convex domain

Agnid Banerjee, John L. Lewis

arxiv:1305.0078 v1 · 2013-05-01 · 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{4SGCX2J5SD2TFSZANM5FJ4WKHE}

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	2026-05-18T03:26:42.080089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e48c2be93d90f532cb206b3a54f2ca393f784565376cd15b72a09d7920bbc4db

Aliases

arxiv: 1305.0078 · arxiv_version: 1305.0078v1 · doi: 10.48550/arxiv.1305.0078 · pith_short_12: 4SGCX2J5SD2T · pith_short_16: 4SGCX2J5SD2TFSZA · pith_short_8: 4SGCX2J5

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/4SGCX2J5SD2TFSZANM5FJ4WKHE \
  | 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: e48c2be93d90f532cb206b3a54f2ca393f784565376cd15b72a09d7920bbc4db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ecd6c13631396e806f38b56d0c9594ec324bb19bd220f31ba179420dbb2c4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-01T03:27:41Z",
    "title_canon_sha256": "bbf995eaef2f4fa6d7d538f0babf4c400b4abbf9611d6d1f576cf0aaaca5ac0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0078",
    "kind": "arxiv",
    "version": 1
  }
}