Pith Number

pith:245CUTL7

pith:2014:245CUTL7AJAKWMAZRATTYXGFTS

not attested not anchored not stored refs pending

A new monotonicity formula for solutions to the elliptic system $\Delta u=\nabla W(u) $

Christos Sourdis

arxiv:1402.6237 v2 · 2014-02-25 · 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{245CUTL7AJAKWMAZRATTYXGFTS}

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	2026-05-18T02:57:44.715191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d73a2a4d7f0240ab301988273c5cc59cb7b8c2c439f13369759b55c187731b49

Aliases

arxiv: 1402.6237 · arxiv_version: 1402.6237v2 · doi: 10.48550/arxiv.1402.6237 · pith_short_12: 245CUTL7AJAK · pith_short_16: 245CUTL7AJAKWMAZ · pith_short_8: 245CUTL7

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/245CUTL7AJAKWMAZRATTYXGFTS \
  | 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: d73a2a4d7f0240ab301988273c5cc59cb7b8c2c439f13369759b55c187731b49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c2b92a811b27665fcb1ecafb9123dfd600774a68b52b652f0d3032a758bdabc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-25T16:47:39Z",
    "title_canon_sha256": "2b1456281f84810d194ccaf4acd47895390b187ab7f08f57a913550e20190c2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6237",
    "kind": "arxiv",
    "version": 2
  }
}